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Finding the Third Proportional to 79,787 and 121,409

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Solution

The third proportional to 79,787 and 121,409 is: 184,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,787 : 121,409 = 121,409 : x
  2. Step 2: Convert to fraction form
    79,787/121,409 = 121,409/x
  3. Step 3: Cross multiply
    79,787x = 121,409 × 121,409
  4. Step 4: Simplify right side
    79,787x = 14,740,145,281
  5. Step 5: Solve for x
    x = 14,740,145,281/79,787
  6. Step 6: Final answer
    x = 184,743.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.