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Finding the Third Proportional to 128,972 and 182,658

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Solution

The third proportional to 128,972 and 182,658 is: 258,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,972 : 182,658 = 182,658 : x
  2. Step 2: Convert to fraction form
    128,972/182,658 = 182,658/x
  3. Step 3: Cross multiply
    128,972x = 182,658 × 182,658
  4. Step 4: Simplify right side
    128,972x = 33,363,944,964
  5. Step 5: Solve for x
    x = 33,363,944,964/128,972
  6. Step 6: Final answer
    x = 258,691.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.