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Finding the Third Proportional to 64,272 and 138,411

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Solution

The third proportional to 64,272 and 138,411 is: 298,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,272 : 138,411 = 138,411 : x
  2. Step 2: Convert to fraction form
    64,272/138,411 = 138,411/x
  3. Step 3: Cross multiply
    64,272x = 138,411 × 138,411
  4. Step 4: Simplify right side
    64,272x = 19,157,604,921
  5. Step 5: Solve for x
    x = 19,157,604,921/64,272
  6. Step 6: Final answer
    x = 298,070.78

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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.