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Finding the Third Proportional to 847.90 and 1,304.09

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Solution

The third proportional to 847.90 and 1,304.09 is: 2,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.90 : 1,304.09 = 1,304.09 : x
  2. Step 2: Convert to fraction form
    847.90/1,304.09 = 1,304.09/x
  3. Step 3: Cross multiply
    847.90x = 1,304.09 × 1,304.09
  4. Step 4: Simplify right side
    847.90x = 1,700,640.13
  5. Step 5: Solve for x
    x = 1,700,640.13/847.90
  6. Step 6: Final answer
    x = 2,005.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.