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Finding the Third Proportional to 359,631 and 540,369

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Solution

The third proportional to 359,631 and 540,369 is: 811,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,631 : 540,369 = 540,369 : x
  2. Step 2: Convert to fraction form
    359,631/540,369 = 540,369/x
  3. Step 3: Cross multiply
    359,631x = 540,369 × 540,369
  4. Step 4: Simplify right side
    359,631x = 291,998,656,161
  5. Step 5: Solve for x
    x = 291,998,656,161/359,631
  6. Step 6: Final answer
    x = 811,939.62

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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.