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Finding the Third Proportional to 224,878 and 487,123

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Solution

The third proportional to 224,878 and 487,123 is: 1,055,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,878 : 487,123 = 487,123 : x
  2. Step 2: Convert to fraction form
    224,878/487,123 = 487,123/x
  3. Step 3: Cross multiply
    224,878x = 487,123 × 487,123
  4. Step 4: Simplify right side
    224,878x = 237,288,817,129
  5. Step 5: Solve for x
    x = 237,288,817,129/224,878
  6. Step 6: Final answer
    x = 1,055,189.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.