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Finding the Third Proportional to 64,724 and 138,446

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Solution

The third proportional to 64,724 and 138,446 is: 296,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,724 : 138,446 = 138,446 : x
  2. Step 2: Convert to fraction form
    64,724/138,446 = 138,446/x
  3. Step 3: Cross multiply
    64,724x = 138,446 × 138,446
  4. Step 4: Simplify right side
    64,724x = 19,167,294,916
  5. Step 5: Solve for x
    x = 19,167,294,916/64,724
  6. Step 6: Final answer
    x = 296,138.91

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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.