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Finding the Third Proportional to 441,290 and 661,343

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Solution

The third proportional to 441,290 and 661,343 is: 991,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,290 : 661,343 = 661,343 : x
  2. Step 2: Convert to fraction form
    441,290/661,343 = 661,343/x
  3. Step 3: Cross multiply
    441,290x = 661,343 × 661,343
  4. Step 4: Simplify right side
    441,290x = 437,374,563,649
  5. Step 5: Solve for x
    x = 437,374,563,649/441,290
  6. Step 6: Final answer
    x = 991,127.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.