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Finding the Third Proportional to 142,488.28 and 222,358.92

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Solution

The third proportional to 142,488.28 and 222,358.92 is: 347,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,488.28 : 222,358.92 = 222,358.92 : x
  2. Step 2: Convert to fraction form
    142,488.28/222,358.92 = 222,358.92/x
  3. Step 3: Cross multiply
    142,488.28x = 222,358.92 × 222,358.92
  4. Step 4: Simplify right side
    142,488.28x = 49,443,490,137.41
  5. Step 5: Solve for x
    x = 49,443,490,137.41/142,488.28
  6. Step 6: Final answer
    x = 347,000.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.