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Finding the Third Proportional to 65,389 and 138,624

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Solution

The third proportional to 65,389 and 138,624 is: 293,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,389 : 138,624 = 138,624 : x
  2. Step 2: Convert to fraction form
    65,389/138,624 = 138,624/x
  3. Step 3: Cross multiply
    65,389x = 138,624 × 138,624
  4. Step 4: Simplify right side
    65,389x = 19,216,613,376
  5. Step 5: Solve for x
    x = 19,216,613,376/65,389
  6. Step 6: Final answer
    x = 293,881.44

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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.