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Finding the Third Proportional to 61,087 and 131,407

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Solution

The third proportional to 61,087 and 131,407 is: 282,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,087 : 131,407 = 131,407 : x
  2. Step 2: Convert to fraction form
    61,087/131,407 = 131,407/x
  3. Step 3: Cross multiply
    61,087x = 131,407 × 131,407
  4. Step 4: Simplify right side
    61,087x = 17,267,799,649
  5. Step 5: Solve for x
    x = 17,267,799,649/61,087
  6. Step 6: Final answer
    x = 282,675.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.