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Finding the Third Proportional to 472,414.78 and 717,370.17

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Solution

The third proportional to 472,414.78 and 717,370.17 is: 1,089,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,414.78 : 717,370.17 = 717,370.17 : x
  2. Step 2: Convert to fraction form
    472,414.78/717,370.17 = 717,370.17/x
  3. Step 3: Cross multiply
    472,414.78x = 717,370.17 × 717,370.17
  4. Step 4: Simplify right side
    472,414.78x = 514,619,963,495.97
  5. Step 5: Solve for x
    x = 514,619,963,495.97/472,414.78
  6. Step 6: Final answer
    x = 1,089,339.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.