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Finding the Third Proportional to 331,405 and 506,737

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Solution

The third proportional to 331,405 and 506,737 is: 774,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,405 : 506,737 = 506,737 : x
  2. Step 2: Convert to fraction form
    331,405/506,737 = 506,737/x
  3. Step 3: Cross multiply
    331,405x = 506,737 × 506,737
  4. Step 4: Simplify right side
    331,405x = 256,782,387,169
  5. Step 5: Solve for x
    x = 256,782,387,169/331,405
  6. Step 6: Final answer
    x = 774,829.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.