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Finding the Third Proportional to 331,370 and 516,720

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Solution

The third proportional to 331,370 and 516,720 is: 805,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,370 : 516,720 = 516,720 : x
  2. Step 2: Convert to fraction form
    331,370/516,720 = 516,720/x
  3. Step 3: Cross multiply
    331,370x = 516,720 × 516,720
  4. Step 4: Simplify right side
    331,370x = 266,999,558,400
  5. Step 5: Solve for x
    x = 266,999,558,400/331,370
  6. Step 6: Final answer
    x = 805,744.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.