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Finding the Third Proportional to 142,587.84 and 199,358.72

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Solution

The third proportional to 142,587.84 and 199,358.72 is: 278,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,587.84 : 199,358.72 = 199,358.72 : x
  2. Step 2: Convert to fraction form
    142,587.84/199,358.72 = 199,358.72/x
  3. Step 3: Cross multiply
    142,587.84x = 199,358.72 × 199,358.72
  4. Step 4: Simplify right side
    142,587.84x = 39,743,898,741.64
  5. Step 5: Solve for x
    x = 39,743,898,741.64/142,587.84
  6. Step 6: Final answer
    x = 278,732.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.