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Finding the Third Proportional to 64,208 and 138,566

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Solution

The third proportional to 64,208 and 138,566 is: 299,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,208 : 138,566 = 138,566 : x
  2. Step 2: Convert to fraction form
    64,208/138,566 = 138,566/x
  3. Step 3: Cross multiply
    64,208x = 138,566 × 138,566
  4. Step 4: Simplify right side
    64,208x = 19,200,536,356
  5. Step 5: Solve for x
    x = 19,200,536,356/64,208
  6. Step 6: Final answer
    x = 299,036.51

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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.