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Finding the Third Proportional to 64,301 and 138,460

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Solution

The third proportional to 64,301 and 138,460 is: 298,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,301 : 138,460 = 138,460 : x
  2. Step 2: Convert to fraction form
    64,301/138,460 = 138,460/x
  3. Step 3: Cross multiply
    64,301x = 138,460 × 138,460
  4. Step 4: Simplify right side
    64,301x = 19,171,171,600
  5. Step 5: Solve for x
    x = 19,171,171,600/64,301
  6. Step 6: Final answer
    x = 298,147.33

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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.