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Finding the Third Proportional to 129,658 and 174,788

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Solution

The third proportional to 129,658 and 174,788 is: 235,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,658 : 174,788 = 174,788 : x
  2. Step 2: Convert to fraction form
    129,658/174,788 = 174,788/x
  3. Step 3: Cross multiply
    129,658x = 174,788 × 174,788
  4. Step 4: Simplify right side
    129,658x = 30,550,844,944
  5. Step 5: Solve for x
    x = 30,550,844,944/129,658
  6. Step 6: Final answer
    x = 235,626.38

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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.