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Finding the Third Proportional to 120,531 and 260,502

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Solution

The third proportional to 120,531 and 260,502 is: 563,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,531 : 260,502 = 260,502 : x
  2. Step 2: Convert to fraction form
    120,531/260,502 = 260,502/x
  3. Step 3: Cross multiply
    120,531x = 260,502 × 260,502
  4. Step 4: Simplify right side
    120,531x = 67,861,292,004
  5. Step 5: Solve for x
    x = 67,861,292,004/120,531
  6. Step 6: Final answer
    x = 563,019.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.