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Finding the Third Proportional to 714.31 and 1,079.09

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Solution

The third proportional to 714.31 and 1,079.09 is: 1,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.31 : 1,079.09 = 1,079.09 : x
  2. Step 2: Convert to fraction form
    714.31/1,079.09 = 1,079.09/x
  3. Step 3: Cross multiply
    714.31x = 1,079.09 × 1,079.09
  4. Step 4: Simplify right side
    714.31x = 1,164,443.32
  5. Step 5: Solve for x
    x = 1,164,443.32/714.31
  6. Step 6: Final answer
    x = 1,630.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.