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Finding the Third Proportional to 714.87 and 1,561.36

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Solution

The third proportional to 714.87 and 1,561.36 is: 3,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.87 : 1,561.36 = 1,561.36 : x
  2. Step 2: Convert to fraction form
    714.87/1,561.36 = 1,561.36/x
  3. Step 3: Cross multiply
    714.87x = 1,561.36 × 1,561.36
  4. Step 4: Simplify right side
    714.87x = 2,437,843.10
  5. Step 5: Solve for x
    x = 2,437,843.10/714.87
  6. Step 6: Final answer
    x = 3,410.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.