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Finding the Third Proportional to 65,319 and 138,342

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Solution

The third proportional to 65,319 and 138,342 is: 293,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,319 : 138,342 = 138,342 : x
  2. Step 2: Convert to fraction form
    65,319/138,342 = 138,342/x
  3. Step 3: Cross multiply
    65,319x = 138,342 × 138,342
  4. Step 4: Simplify right side
    65,319x = 19,138,508,964
  5. Step 5: Solve for x
    x = 19,138,508,964/65,319
  6. Step 6: Final answer
    x = 293,000.64

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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.