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Finding the Third Proportional to 208,281 and 457,521

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Solution

The third proportional to 208,281 and 457,521 is: 1,005,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,281 : 457,521 = 457,521 : x
  2. Step 2: Convert to fraction form
    208,281/457,521 = 457,521/x
  3. Step 3: Cross multiply
    208,281x = 457,521 × 457,521
  4. Step 4: Simplify right side
    208,281x = 209,325,465,441
  5. Step 5: Solve for x
    x = 209,325,465,441/208,281
  6. Step 6: Final answer
    x = 1,005,014.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.