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Finding the Third Proportional to 697.57 and 1,084.64

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Solution

The third proportional to 697.57 and 1,084.64 is: 1,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.57 : 1,084.64 = 1,084.64 : x
  2. Step 2: Convert to fraction form
    697.57/1,084.64 = 1,084.64/x
  3. Step 3: Cross multiply
    697.57x = 1,084.64 × 1,084.64
  4. Step 4: Simplify right side
    697.57x = 1,176,445.29
  5. Step 5: Solve for x
    x = 1,176,445.29/697.57
  6. Step 6: Final answer
    x = 1,686.49

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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.