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Finding the Third Proportional to 121,421 and 180,886

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Solution

The third proportional to 121,421 and 180,886 is: 269,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,421 : 180,886 = 180,886 : x
  2. Step 2: Convert to fraction form
    121,421/180,886 = 180,886/x
  3. Step 3: Cross multiply
    121,421x = 180,886 × 180,886
  4. Step 4: Simplify right side
    121,421x = 32,719,744,996
  5. Step 5: Solve for x
    x = 32,719,744,996/121,421
  6. Step 6: Final answer
    x = 269,473.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.