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Finding the Third Proportional to 79,290 and 121,444

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Solution

The third proportional to 79,290 and 121,444 is: 186,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,290 : 121,444 = 121,444 : x
  2. Step 2: Convert to fraction form
    79,290/121,444 = 121,444/x
  3. Step 3: Cross multiply
    79,290x = 121,444 × 121,444
  4. Step 4: Simplify right side
    79,290x = 14,748,645,136
  5. Step 5: Solve for x
    x = 14,748,645,136/79,290
  6. Step 6: Final answer
    x = 186,008.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.