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Finding the Third Proportional to 359,633 and 540,372

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Solution

The third proportional to 359,633 and 540,372 is: 811,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,633 : 540,372 = 540,372 : x
  2. Step 2: Convert to fraction form
    359,633/540,372 = 540,372/x
  3. Step 3: Cross multiply
    359,633x = 540,372 × 540,372
  4. Step 4: Simplify right side
    359,633x = 292,001,898,384
  5. Step 5: Solve for x
    x = 292,001,898,384/359,633
  6. Step 6: Final answer
    x = 811,944.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.