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Finding the Third Proportional to 287,149.50 and 631,343.25

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Solution

The third proportional to 287,149.50 and 631,343.25 is: 1,388,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,149.50 : 631,343.25 = 631,343.25 : x
  2. Step 2: Convert to fraction form
    287,149.50/631,343.25 = 631,343.25/x
  3. Step 3: Cross multiply
    287,149.50x = 631,343.25 × 631,343.25
  4. Step 4: Simplify right side
    287,149.50x = 398,594,299,320.56
  5. Step 5: Solve for x
    x = 398,594,299,320.56/287,149.50
  6. Step 6: Final answer
    x = 1,388,107.24

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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.