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Finding the Third Proportional to 128,440 and 170,475

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Solution

The third proportional to 128,440 and 170,475 is: 226,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,440 : 170,475 = 170,475 : x
  2. Step 2: Convert to fraction form
    128,440/170,475 = 170,475/x
  3. Step 3: Cross multiply
    128,440x = 170,475 × 170,475
  4. Step 4: Simplify right side
    128,440x = 29,061,725,625
  5. Step 5: Solve for x
    x = 29,061,725,625/128,440
  6. Step 6: Final answer
    x = 226,266.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.