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Finding the Third Proportional to 128,217 and 172,915

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Solution

The third proportional to 128,217 and 172,915 is: 233,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,217 : 172,915 = 172,915 : x
  2. Step 2: Convert to fraction form
    128,217/172,915 = 172,915/x
  3. Step 3: Cross multiply
    128,217x = 172,915 × 172,915
  4. Step 4: Simplify right side
    128,217x = 29,899,597,225
  5. Step 5: Solve for x
    x = 29,899,597,225/128,217
  6. Step 6: Final answer
    x = 233,195.26

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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.