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Finding the Third Proportional to 409,642 and 891,092

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Solution

The third proportional to 409,642 and 891,092 is: 1,938,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,642 : 891,092 = 891,092 : x
  2. Step 2: Convert to fraction form
    409,642/891,092 = 891,092/x
  3. Step 3: Cross multiply
    409,642x = 891,092 × 891,092
  4. Step 4: Simplify right side
    409,642x = 794,044,952,464
  5. Step 5: Solve for x
    x = 794,044,952,464/409,642
  6. Step 6: Final answer
    x = 1,938,387.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.