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Finding the Third Proportional to 42,209 and 98,609

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Solution

The third proportional to 42,209 and 98,609 is: 230,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,209 : 98,609 = 98,609 : x
  2. Step 2: Convert to fraction form
    42,209/98,609 = 98,609/x
  3. Step 3: Cross multiply
    42,209x = 98,609 × 98,609
  4. Step 4: Simplify right side
    42,209x = 9,723,734,881
  5. Step 5: Solve for x
    x = 9,723,734,881/42,209
  6. Step 6: Final answer
    x = 230,371.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.