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Finding the Third Proportional to 191,272.50 and 446,742.50

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Solution

The third proportional to 191,272.50 and 446,742.50 is: 1,043,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,272.50 : 446,742.50 = 446,742.50 : x
  2. Step 2: Convert to fraction form
    191,272.50/446,742.50 = 446,742.50/x
  3. Step 3: Cross multiply
    191,272.50x = 446,742.50 × 446,742.50
  4. Step 4: Simplify right side
    191,272.50x = 199,578,861,306.25
  5. Step 5: Solve for x
    x = 199,578,861,306.25/191,272.50
  6. Step 6: Final answer
    x = 1,043,426.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.