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Finding the Third Proportional to 331,540 and 514,280

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Solution

The third proportional to 331,540 and 514,280 is: 797,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,540 : 514,280 = 514,280 : x
  2. Step 2: Convert to fraction form
    331,540/514,280 = 514,280/x
  3. Step 3: Cross multiply
    331,540x = 514,280 × 514,280
  4. Step 4: Simplify right side
    331,540x = 264,483,918,400
  5. Step 5: Solve for x
    x = 264,483,918,400/331,540
  6. Step 6: Final answer
    x = 797,743.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.