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Finding the Third Proportional to 84,824 and 131,407

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Solution

The third proportional to 84,824 and 131,407 is: 203,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,824 : 131,407 = 131,407 : x
  2. Step 2: Convert to fraction form
    84,824/131,407 = 131,407/x
  3. Step 3: Cross multiply
    84,824x = 131,407 × 131,407
  4. Step 4: Simplify right side
    84,824x = 17,267,799,649
  5. Step 5: Solve for x
    x = 17,267,799,649/84,824
  6. Step 6: Final answer
    x = 203,572.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.