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Finding the Third Proportional to 191,407.50 and 419,449.50

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Solution

The third proportional to 191,407.50 and 419,449.50 is: 919,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,407.50 : 419,449.50 = 419,449.50 : x
  2. Step 2: Convert to fraction form
    191,407.50/419,449.50 = 419,449.50/x
  3. Step 3: Cross multiply
    191,407.50x = 419,449.50 × 419,449.50
  4. Step 4: Simplify right side
    191,407.50x = 175,937,883,050.25
  5. Step 5: Solve for x
    x = 175,937,883,050.25/191,407.50
  6. Step 6: Final answer
    x = 919,179.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.