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Finding the Third Proportional to 133,111,538 and 290,720,236

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Solution

The third proportional to 133,111,538 and 290,720,236 is: 634,943,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,111,538 : 290,720,236 = 290,720,236 : x
  2. Step 2: Convert to fraction form
    133,111,538/290,720,236 = 290,720,236/x
  3. Step 3: Cross multiply
    133,111,538x = 290,720,236 × 290,720,236
  4. Step 4: Simplify right side
    133,111,538x = 84,518,255,619,895,696
  5. Step 5: Solve for x
    x = 84,518,255,619,895,696/133,111,538
  6. Step 6: Final answer
    x = 634,943,122.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.