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Finding the Third Proportional to 121,816.50 and 188,263.50

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Solution

The third proportional to 121,816.50 and 188,263.50 is: 290,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,816.50 : 188,263.50 = 188,263.50 : x
  2. Step 2: Convert to fraction form
    121,816.50/188,263.50 = 188,263.50/x
  3. Step 3: Cross multiply
    121,816.50x = 188,263.50 × 188,263.50
  4. Step 4: Simplify right side
    121,816.50x = 35,443,145,432.25
  5. Step 5: Solve for x
    x = 35,443,145,432.25/121,816.50
  6. Step 6: Final answer
    x = 290,955.21

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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.