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Finding the Third Proportional to 60,489 and 138,838.50

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Solution

The third proportional to 60,489 and 138,838.50 is: 318,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,489 : 138,838.50 = 138,838.50 : x
  2. Step 2: Convert to fraction form
    60,489/138,838.50 = 138,838.50/x
  3. Step 3: Cross multiply
    60,489x = 138,838.50 × 138,838.50
  4. Step 4: Simplify right side
    60,489x = 19,276,129,082.25
  5. Step 5: Solve for x
    x = 19,276,129,082.25/60,489
  6. Step 6: Final answer
    x = 318,671.64

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.