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Finding the Third Proportional to 131,203.25 and 287,624.50

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Solution

The third proportional to 131,203.25 and 287,624.50 is: 630,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,203.25 : 287,624.50 = 287,624.50 : x
  2. Step 2: Convert to fraction form
    131,203.25/287,624.50 = 287,624.50/x
  3. Step 3: Cross multiply
    131,203.25x = 287,624.50 × 287,624.50
  4. Step 4: Simplify right side
    131,203.25x = 82,727,853,000.25
  5. Step 5: Solve for x
    x = 82,727,853,000.25/131,203.25
  6. Step 6: Final answer
    x = 630,532.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.