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Finding the Third Proportional to 408,675.80 and 561,000.30

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Solution

The third proportional to 408,675.80 and 561,000.30 is: 770,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,675.80 : 561,000.30 = 561,000.30 : x
  2. Step 2: Convert to fraction form
    408,675.80/561,000.30 = 561,000.30/x
  3. Step 3: Cross multiply
    408,675.80x = 561,000.30 × 561,000.30
  4. Step 4: Simplify right side
    408,675.80x = 314,721,341,859.47
  5. Step 5: Solve for x
    x = 314,721,341,859.47/408,675.80
  6. Step 6: Final answer
    x = 770,100.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.