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Finding the Third Proportional to 209,229 and 457,580

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Solution

The third proportional to 209,229 and 457,580 is: 1,000,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,229 : 457,580 = 457,580 : x
  2. Step 2: Convert to fraction form
    209,229/457,580 = 457,580/x
  3. Step 3: Cross multiply
    209,229x = 457,580 × 457,580
  4. Step 4: Simplify right side
    209,229x = 209,379,456,400
  5. Step 5: Solve for x
    x = 209,379,456,400/209,229
  6. Step 6: Final answer
    x = 1,000,719.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.