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Finding the Third Proportional to 275,239.69 and 425,384.16

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Solution

The third proportional to 275,239.69 and 425,384.16 is: 657,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,239.69 : 425,384.16 = 425,384.16 : x
  2. Step 2: Convert to fraction form
    275,239.69/425,384.16 = 425,384.16/x
  3. Step 3: Cross multiply
    275,239.69x = 425,384.16 × 425,384.16
  4. Step 4: Simplify right side
    275,239.69x = 180,951,680,388.52
  5. Step 5: Solve for x
    x = 180,951,680,388.52/275,239.69
  6. Step 6: Final answer
    x = 657,433.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.