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Finding the Third Proportional to 142,393.50 and 313,206.75

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Solution

The third proportional to 142,393.50 and 313,206.75 is: 688,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,393.50 : 313,206.75 = 313,206.75 : x
  2. Step 2: Convert to fraction form
    142,393.50/313,206.75 = 313,206.75/x
  3. Step 3: Cross multiply
    142,393.50x = 313,206.75 × 313,206.75
  4. Step 4: Simplify right side
    142,393.50x = 98,098,468,245.56
  5. Step 5: Solve for x
    x = 98,098,468,245.56/142,393.50
  6. Step 6: Final answer
    x = 688,925.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.