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Finding the Third Proportional to 142,456.50 and 211,488.75

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Solution

The third proportional to 142,456.50 and 211,488.75 is: 313,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,456.50 : 211,488.75 = 211,488.75 : x
  2. Step 2: Convert to fraction form
    142,456.50/211,488.75 = 211,488.75/x
  3. Step 3: Cross multiply
    142,456.50x = 211,488.75 × 211,488.75
  4. Step 4: Simplify right side
    142,456.50x = 44,727,491,376.56
  5. Step 5: Solve for x
    x = 44,727,491,376.56/142,456.50
  6. Step 6: Final answer
    x = 313,972.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.