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Finding the Third Proportional to 141,685.50 and 221,141.25

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Solution

The third proportional to 141,685.50 and 221,141.25 is: 345,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,685.50 : 221,141.25 = 221,141.25 : x
  2. Step 2: Convert to fraction form
    141,685.50/221,141.25 = 221,141.25/x
  3. Step 3: Cross multiply
    141,685.50x = 221,141.25 × 221,141.25
  4. Step 4: Simplify right side
    141,685.50x = 48,903,452,451.56
  5. Step 5: Solve for x
    x = 48,903,452,451.56/141,685.50
  6. Step 6: Final answer
    x = 345,154.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.