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Finding the Third Proportional to 121,478 and 188,574

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Solution

The third proportional to 121,478 and 188,574 is: 292,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,478 : 188,574 = 188,574 : x
  2. Step 2: Convert to fraction form
    121,478/188,574 = 188,574/x
  3. Step 3: Cross multiply
    121,478x = 188,574 × 188,574
  4. Step 4: Simplify right side
    121,478x = 35,560,153,476
  5. Step 5: Solve for x
    x = 35,560,153,476/121,478
  6. Step 6: Final answer
    x = 292,729.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.