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Finding the Third Proportional to 61,121 and 80,403

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Solution

The third proportional to 61,121 and 80,403 is: 105,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,121 : 80,403 = 80,403 : x
  2. Step 2: Convert to fraction form
    61,121/80,403 = 80,403/x
  3. Step 3: Cross multiply
    61,121x = 80,403 × 80,403
  4. Step 4: Simplify right side
    61,121x = 6,464,642,409
  5. Step 5: Solve for x
    x = 6,464,642,409/61,121
  6. Step 6: Final answer
    x = 105,767.94

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.