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Finding the Third Proportional to 108,497 and 234,540

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Solution

The third proportional to 108,497 and 234,540 is: 507,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,497 : 234,540 = 234,540 : x
  2. Step 2: Convert to fraction form
    108,497/234,540 = 234,540/x
  3. Step 3: Cross multiply
    108,497x = 234,540 × 234,540
  4. Step 4: Simplify right side
    108,497x = 55,009,011,600
  5. Step 5: Solve for x
    x = 55,009,011,600/108,497
  6. Step 6: Final answer
    x = 507,009.52

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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.