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Finding the Third Proportional to 64,200 and 138,552

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Solution

The third proportional to 64,200 and 138,552 is: 299,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,200 : 138,552 = 138,552 : x
  2. Step 2: Convert to fraction form
    64,200/138,552 = 138,552/x
  3. Step 3: Cross multiply
    64,200x = 138,552 × 138,552
  4. Step 4: Simplify right side
    64,200x = 19,196,656,704
  5. Step 5: Solve for x
    x = 19,196,656,704/64,200
  6. Step 6: Final answer
    x = 299,013.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.