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Finding the Third Proportional to 70,138.13 and 149,437.88

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Solution

The third proportional to 70,138.13 and 149,437.88 is: 318,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.13 : 149,437.88 = 149,437.88 : x
  2. Step 2: Convert to fraction form
    70,138.13/149,437.88 = 149,437.88/x
  3. Step 3: Cross multiply
    70,138.13x = 149,437.88 × 149,437.88
  4. Step 4: Simplify right side
    70,138.13x = 22,331,678,484.52
  5. Step 5: Solve for x
    x = 22,331,678,484.52/70,138.13
  6. Step 6: Final answer
    x = 318,395.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.