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Finding the Third Proportional to 128,434 and 170,466

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Solution

The third proportional to 128,434 and 170,466 is: 226,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,434 : 170,466 = 170,466 : x
  2. Step 2: Convert to fraction form
    128,434/170,466 = 170,466/x
  3. Step 3: Cross multiply
    128,434x = 170,466 × 170,466
  4. Step 4: Simplify right side
    128,434x = 29,058,657,156
  5. Step 5: Solve for x
    x = 29,058,657,156/128,434
  6. Step 6: Final answer
    x = 226,253.62

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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.