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Finding the Third Proportional to 121,946 and 187,673

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Solution

The third proportional to 121,946 and 187,673 is: 288,825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,946 : 187,673 = 187,673 : x
  2. Step 2: Convert to fraction form
    121,946/187,673 = 187,673/x
  3. Step 3: Cross multiply
    121,946x = 187,673 × 187,673
  4. Step 4: Simplify right side
    121,946x = 35,221,154,929
  5. Step 5: Solve for x
    x = 35,221,154,929/121,946
  6. Step 6: Final answer
    x = 288,825.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.