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Finding the Third Proportional to 120,386 and 183,785

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Solution

The third proportional to 120,386 and 183,785 is: 280,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,386 : 183,785 = 183,785 : x
  2. Step 2: Convert to fraction form
    120,386/183,785 = 183,785/x
  3. Step 3: Cross multiply
    120,386x = 183,785 × 183,785
  4. Step 4: Simplify right side
    120,386x = 33,776,926,225
  5. Step 5: Solve for x
    x = 33,776,926,225/120,386
  6. Step 6: Final answer
    x = 280,571.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.