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Finding the Third Proportional to 65,432 and 138,664

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Solution

The third proportional to 65,432 and 138,664 is: 293,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,432 : 138,664 = 138,664 : x
  2. Step 2: Convert to fraction form
    65,432/138,664 = 138,664/x
  3. Step 3: Cross multiply
    65,432x = 138,664 × 138,664
  4. Step 4: Simplify right side
    65,432x = 19,227,704,896
  5. Step 5: Solve for x
    x = 19,227,704,896/65,432
  6. Step 6: Final answer
    x = 293,857.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.