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Finding the Third Proportional to 272,112.75 and 425,275.31

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Solution

The third proportional to 272,112.75 and 425,275.31 is: 664,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,112.75 : 425,275.31 = 425,275.31 : x
  2. Step 2: Convert to fraction form
    272,112.75/425,275.31 = 425,275.31/x
  3. Step 3: Cross multiply
    272,112.75x = 425,275.31 × 425,275.31
  4. Step 4: Simplify right side
    272,112.75x = 180,859,091,421.97
  5. Step 5: Solve for x
    x = 180,859,091,421.97/272,112.75
  6. Step 6: Final answer
    x = 664,647.62

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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.