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Finding the Third Proportional to 142,924.50 and 282,234.38

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Solution

The third proportional to 142,924.50 and 282,234.38 is: 557,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,924.50 : 282,234.38 = 282,234.38 : x
  2. Step 2: Convert to fraction form
    142,924.50/282,234.38 = 282,234.38/x
  3. Step 3: Cross multiply
    142,924.50x = 282,234.38 × 282,234.38
  4. Step 4: Simplify right side
    142,924.50x = 79,656,242,431.64
  5. Step 5: Solve for x
    x = 79,656,242,431.64/142,924.50
  6. Step 6: Final answer
    x = 557,330.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.