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Finding the Third Proportional to 129,659 and 174,789

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Solution

The third proportional to 129,659 and 174,789 is: 235,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,659 : 174,789 = 174,789 : x
  2. Step 2: Convert to fraction form
    129,659/174,789 = 174,789/x
  3. Step 3: Cross multiply
    129,659x = 174,789 × 174,789
  4. Step 4: Simplify right side
    129,659x = 30,551,194,521
  5. Step 5: Solve for x
    x = 30,551,194,521/129,659
  6. Step 6: Final answer
    x = 235,627.26

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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.