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Finding the Third Proportional to 408,849 and 572,922

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Solution

The third proportional to 408,849 and 572,922 is: 802,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,849 : 572,922 = 572,922 : x
  2. Step 2: Convert to fraction form
    408,849/572,922 = 572,922/x
  3. Step 3: Cross multiply
    408,849x = 572,922 × 572,922
  4. Step 4: Simplify right side
    408,849x = 328,239,618,084
  5. Step 5: Solve for x
    x = 328,239,618,084/408,849
  6. Step 6: Final answer
    x = 802,838.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.