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Finding the Third Proportional to 864 and 1,545

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Solution

The third proportional to 864 and 1,545 is: 2,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,545 = 1,545 : x
  2. Step 2: Convert to fraction form
    864/1,545 = 1,545/x
  3. Step 3: Cross multiply
    864x = 1,545 × 1,545
  4. Step 4: Simplify right side
    864x = 2,387,025
  5. Step 5: Solve for x
    x = 2,387,025/864
  6. Step 6: Final answer
    x = 2,762.76

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.