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Finding the Third Proportional to 240,644.25 and 512,257.50

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Solution

The third proportional to 240,644.25 and 512,257.50 is: 1,090,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,644.25 : 512,257.50 = 512,257.50 : x
  2. Step 2: Convert to fraction form
    240,644.25/512,257.50 = 512,257.50/x
  3. Step 3: Cross multiply
    240,644.25x = 512,257.50 × 512,257.50
  4. Step 4: Simplify right side
    240,644.25x = 262,407,746,306.25
  5. Step 5: Solve for x
    x = 262,407,746,306.25/240,644.25
  6. Step 6: Final answer
    x = 1,090,438.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.