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Finding the Third Proportional to 224,464.50 and 498,754.13

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Solution

The third proportional to 224,464.50 and 498,754.13 is: 1,108,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,464.50 : 498,754.13 = 498,754.13 : x
  2. Step 2: Convert to fraction form
    224,464.50/498,754.13 = 498,754.13/x
  3. Step 3: Cross multiply
    224,464.50x = 498,754.13 × 498,754.13
  4. Step 4: Simplify right side
    224,464.50x = 248,755,677,204.52
  5. Step 5: Solve for x
    x = 248,755,677,204.52/224,464.50
  6. Step 6: Final answer
    x = 1,108,218.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.