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Finding the Third Proportional to 129,458 and 174,906

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Solution

The third proportional to 129,458 and 174,906 is: 236,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,458 : 174,906 = 174,906 : x
  2. Step 2: Convert to fraction form
    129,458/174,906 = 174,906/x
  3. Step 3: Cross multiply
    129,458x = 174,906 × 174,906
  4. Step 4: Simplify right side
    129,458x = 30,592,108,836
  5. Step 5: Solve for x
    x = 30,592,108,836/129,458
  6. Step 6: Final answer
    x = 236,309.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.