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Finding the Third Proportional to 272,281.50 and 399,947.63

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Solution

The third proportional to 272,281.50 and 399,947.63 is: 587,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,281.50 : 399,947.63 = 399,947.63 : x
  2. Step 2: Convert to fraction form
    272,281.50/399,947.63 = 399,947.63/x
  3. Step 3: Cross multiply
    272,281.50x = 399,947.63 × 399,947.63
  4. Step 4: Simplify right side
    272,281.50x = 159,958,102,743.14
  5. Step 5: Solve for x
    x = 159,958,102,743.14/272,281.50
  6. Step 6: Final answer
    x = 587,473.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.