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Finding the Third Proportional to 240,822 and 381,643

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Solution

The third proportional to 240,822 and 381,643 is: 604,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,822 : 381,643 = 381,643 : x
  2. Step 2: Convert to fraction form
    240,822/381,643 = 381,643/x
  3. Step 3: Cross multiply
    240,822x = 381,643 × 381,643
  4. Step 4: Simplify right side
    240,822x = 145,651,379,449
  5. Step 5: Solve for x
    x = 145,651,379,449/240,822
  6. Step 6: Final answer
    x = 604,809.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.