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Finding the Third Proportional to 121,289 and 184,382

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Solution

The third proportional to 121,289 and 184,382 is: 280,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,289 : 184,382 = 184,382 : x
  2. Step 2: Convert to fraction form
    121,289/184,382 = 184,382/x
  3. Step 3: Cross multiply
    121,289x = 184,382 × 184,382
  4. Step 4: Simplify right side
    121,289x = 33,996,721,924
  5. Step 5: Solve for x
    x = 33,996,721,924/121,289
  6. Step 6: Final answer
    x = 280,295.18

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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.