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Finding the Third Proportional to 240,178.50 and 517,469.63

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Solution

The third proportional to 240,178.50 and 517,469.63 is: 1,114,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,178.50 : 517,469.63 = 517,469.63 : x
  2. Step 2: Convert to fraction form
    240,178.50/517,469.63 = 517,469.63/x
  3. Step 3: Cross multiply
    240,178.50x = 517,469.63 × 517,469.63
  4. Step 4: Simplify right side
    240,178.50x = 267,774,812,797.64
  5. Step 5: Solve for x
    x = 267,774,812,797.64/240,178.50
  6. Step 6: Final answer
    x = 1,114,899.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.