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Finding the Third Proportional to 124,220.25 and 191,164.50

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Solution

The third proportional to 124,220.25 and 191,164.50 is: 294,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,220.25 : 191,164.50 = 191,164.50 : x
  2. Step 2: Convert to fraction form
    124,220.25/191,164.50 = 191,164.50/x
  3. Step 3: Cross multiply
    124,220.25x = 191,164.50 × 191,164.50
  4. Step 4: Simplify right side
    124,220.25x = 36,543,866,060.25
  5. Step 5: Solve for x
    x = 36,543,866,060.25/124,220.25
  6. Step 6: Final answer
    x = 294,186.06

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1.5x scale

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.