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Finding the Third Proportional to 127,982 and 176,421

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Solution

The third proportional to 127,982 and 176,421 is: 243,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,982 : 176,421 = 176,421 : x
  2. Step 2: Convert to fraction form
    127,982/176,421 = 176,421/x
  3. Step 3: Cross multiply
    127,982x = 176,421 × 176,421
  4. Step 4: Simplify right side
    127,982x = 31,124,369,241
  5. Step 5: Solve for x
    x = 31,124,369,241/127,982
  6. Step 6: Final answer
    x = 243,193.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.