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Finding the Third Proportional to 607,311 and 865,128

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Solution

The third proportional to 607,311 and 865,128 is: 1,232,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,311 : 865,128 = 865,128 : x
  2. Step 2: Convert to fraction form
    607,311/865,128 = 865,128/x
  3. Step 3: Cross multiply
    607,311x = 865,128 × 865,128
  4. Step 4: Simplify right side
    607,311x = 748,446,456,384
  5. Step 5: Solve for x
    x = 748,446,456,384/607,311
  6. Step 6: Final answer
    x = 1,232,394.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.