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Finding the Third Proportional to 64,272 and 138,942

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Solution

The third proportional to 64,272 and 138,942 is: 300,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,272 : 138,942 = 138,942 : x
  2. Step 2: Convert to fraction form
    64,272/138,942 = 138,942/x
  3. Step 3: Cross multiply
    64,272x = 138,942 × 138,942
  4. Step 4: Simplify right side
    64,272x = 19,304,879,364
  5. Step 5: Solve for x
    x = 19,304,879,364/64,272
  6. Step 6: Final answer
    x = 300,362.20

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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.