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Finding the Third Proportional to 121,446 and 183,863

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Solution

The third proportional to 121,446 and 183,863 is: 278,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,446 : 183,863 = 183,863 : x
  2. Step 2: Convert to fraction form
    121,446/183,863 = 183,863/x
  3. Step 3: Cross multiply
    121,446x = 183,863 × 183,863
  4. Step 4: Simplify right side
    121,446x = 33,805,602,769
  5. Step 5: Solve for x
    x = 33,805,602,769/121,446
  6. Step 6: Final answer
    x = 278,359.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.