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Finding the Third Proportional to 780 and 1,598

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Solution

The third proportional to 780 and 1,598 is: 3,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    780 : 1,598 = 1,598 : x
  2. Step 2: Convert to fraction form
    780/1,598 = 1,598/x
  3. Step 3: Cross multiply
    780x = 1,598 × 1,598
  4. Step 4: Simplify right side
    780x = 2,553,604
  5. Step 5: Solve for x
    x = 2,553,604/780
  6. Step 6: Final answer
    x = 3,273.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.