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Finding the Third Proportional to 514,719 and 742,545

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Solution

The third proportional to 514,719 and 742,545 is: 1,071,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,719 : 742,545 = 742,545 : x
  2. Step 2: Convert to fraction form
    514,719/742,545 = 742,545/x
  3. Step 3: Cross multiply
    514,719x = 742,545 × 742,545
  4. Step 4: Simplify right side
    514,719x = 551,373,077,025
  5. Step 5: Solve for x
    x = 551,373,077,025/514,719
  6. Step 6: Final answer
    x = 1,071,211.82

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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.