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Finding the Third Proportional to 115,220 and 239,637

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Solution

The third proportional to 115,220 and 239,637 is: 498,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,220 : 239,637 = 239,637 : x
  2. Step 2: Convert to fraction form
    115,220/239,637 = 239,637/x
  3. Step 3: Cross multiply
    115,220x = 239,637 × 239,637
  4. Step 4: Simplify right side
    115,220x = 57,425,891,769
  5. Step 5: Solve for x
    x = 57,425,891,769/115,220
  6. Step 6: Final answer
    x = 498,402.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.