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Finding the Third Proportional to 42,366 and 98,502

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Solution

The third proportional to 42,366 and 98,502 is: 229,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,366 : 98,502 = 98,502 : x
  2. Step 2: Convert to fraction form
    42,366/98,502 = 98,502/x
  3. Step 3: Cross multiply
    42,366x = 98,502 × 98,502
  4. Step 4: Simplify right side
    42,366x = 9,702,644,004
  5. Step 5: Solve for x
    x = 9,702,644,004/42,366
  6. Step 6: Final answer
    x = 229,019.59

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.