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Finding the Third Proportional to 132,460 and 283,860

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Solution

The third proportional to 132,460 and 283,860 is: 608,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,460 : 283,860 = 283,860 : x
  2. Step 2: Convert to fraction form
    132,460/283,860 = 283,860/x
  3. Step 3: Cross multiply
    132,460x = 283,860 × 283,860
  4. Step 4: Simplify right side
    132,460x = 80,576,499,600
  5. Step 5: Solve for x
    x = 80,576,499,600/132,460
  6. Step 6: Final answer
    x = 608,308.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.