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Finding the Third Proportional to 54,845,402,367 and 77,234,412,250.50

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Solution

The third proportional to 54,845,402,367 and 77,234,412,250.50 is: 108,763,071,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,845,402,367 : 77,234,412,250.50 = 77,234,412,250.50 : x
  2. Step 2: Convert to fraction form
    54,845,402,367/77,234,412,250.50 = 77,234,412,250.50/x
  3. Step 3: Cross multiply
    54,845,402,367x = 77,234,412,250.50 × 77,234,412,250.50
  4. Step 4: Simplify right side
    54,845,402,367x = 5,965,154,435,680,184,565,760
  5. Step 5: Solve for x
    x = 5,965,154,435,680,184,565,760/54,845,402,367
  6. Step 6: Final answer
    x = 108,763,071,802.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.