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Finding the Third Proportional to 240,657 and 381,399

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Solution

The third proportional to 240,657 and 381,399 is: 604,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,657 : 381,399 = 381,399 : x
  2. Step 2: Convert to fraction form
    240,657/381,399 = 381,399/x
  3. Step 3: Cross multiply
    240,657x = 381,399 × 381,399
  4. Step 4: Simplify right side
    240,657x = 145,465,197,201
  5. Step 5: Solve for x
    x = 145,465,197,201/240,657
  6. Step 6: Final answer
    x = 604,450.31

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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.