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Finding the Third Proportional to 63,428 and 136,600

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Solution

The third proportional to 63,428 and 136,600 is: 294,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,428 : 136,600 = 136,600 : x
  2. Step 2: Convert to fraction form
    63,428/136,600 = 136,600/x
  3. Step 3: Cross multiply
    63,428x = 136,600 × 136,600
  4. Step 4: Simplify right side
    63,428x = 18,659,560,000
  5. Step 5: Solve for x
    x = 18,659,560,000/63,428
  6. Step 6: Final answer
    x = 294,184.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.