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Finding the Third Proportional to 514,721 and 742,548

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Solution

The third proportional to 514,721 and 742,548 is: 1,071,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,721 : 742,548 = 742,548 : x
  2. Step 2: Convert to fraction form
    514,721/742,548 = 742,548/x
  3. Step 3: Cross multiply
    514,721x = 742,548 × 742,548
  4. Step 4: Simplify right side
    514,721x = 551,377,532,304
  5. Step 5: Solve for x
    x = 551,377,532,304/514,721
  6. Step 6: Final answer
    x = 1,071,216.31

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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.