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Finding the Third Proportional to 570.09 and 1,247.34

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Solution

The third proportional to 570.09 and 1,247.34 is: 2,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.09 : 1,247.34 = 1,247.34 : x
  2. Step 2: Convert to fraction form
    570.09/1,247.34 = 1,247.34/x
  3. Step 3: Cross multiply
    570.09x = 1,247.34 × 1,247.34
  4. Step 4: Simplify right side
    570.09x = 1,555,866.43
  5. Step 5: Solve for x
    x = 1,555,866.43/570.09
  6. Step 6: Final answer
    x = 2,729.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.