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Finding the Third Proportional to 61,717.50 and 136,557

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Solution

The third proportional to 61,717.50 and 136,557 is: 302,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,717.50 : 136,557 = 136,557 : x
  2. Step 2: Convert to fraction form
    61,717.50/136,557 = 136,557/x
  3. Step 3: Cross multiply
    61,717.50x = 136,557 × 136,557
  4. Step 4: Simplify right side
    61,717.50x = 18,647,814,249
  5. Step 5: Solve for x
    x = 18,647,814,249/61,717.50
  6. Step 6: Final answer
    x = 302,147.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.