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Finding the Third Proportional to 121,792 and 188,480

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Solution

The third proportional to 121,792 and 188,480 is: 291,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,792 : 188,480 = 188,480 : x
  2. Step 2: Convert to fraction form
    121,792/188,480 = 188,480/x
  3. Step 3: Cross multiply
    121,792x = 188,480 × 188,480
  4. Step 4: Simplify right side
    121,792x = 35,524,710,400
  5. Step 5: Solve for x
    x = 35,524,710,400/121,792
  6. Step 6: Final answer
    x = 291,683.45

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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.