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Finding the Third Proportional to 142,049.67 and 306,633.09

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Solution

The third proportional to 142,049.67 and 306,633.09 is: 661,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,049.67 : 306,633.09 = 306,633.09 : x
  2. Step 2: Convert to fraction form
    142,049.67/306,633.09 = 306,633.09/x
  3. Step 3: Cross multiply
    142,049.67x = 306,633.09 × 306,633.09
  4. Step 4: Simplify right side
    142,049.67x = 94,023,854,182.70
  5. Step 5: Solve for x
    x = 94,023,854,182.70/142,049.67
  6. Step 6: Final answer
    x = 661,908.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.