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Finding the Third Proportional to 51,024,999.52 and 78,793,218.91

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Solution

The third proportional to 51,024,999.52 and 78,793,218.91 is: 121,673,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,024,999.52 : 78,793,218.91 = 78,793,218.91 : x
  2. Step 2: Convert to fraction form
    51,024,999.52/78,793,218.91 = 78,793,218.91/x
  3. Step 3: Cross multiply
    51,024,999.52x = 78,793,218.91 × 78,793,218.91
  4. Step 4: Simplify right side
    51,024,999.52x = 6,208,371,346,839,297
  5. Step 5: Solve for x
    x = 6,208,371,346,839,297/51,024,999.52
  6. Step 6: Final answer
    x = 121,673,128.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.