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Finding the Third Proportional to 514,729 and 742,561

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Solution

The third proportional to 514,729 and 742,561 is: 1,071,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,729 : 742,561 = 742,561 : x
  2. Step 2: Convert to fraction form
    514,729/742,561 = 742,561/x
  3. Step 3: Cross multiply
    514,729x = 742,561 × 742,561
  4. Step 4: Simplify right side
    514,729x = 551,396,838,721
  5. Step 5: Solve for x
    x = 551,396,838,721/514,729
  6. Step 6: Final answer
    x = 1,071,237.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.