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Finding the Third Proportional to 571.63 and 860.13

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Solution

The third proportional to 571.63 and 860.13 is: 1,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.63 : 860.13 = 860.13 : x
  2. Step 2: Convert to fraction form
    571.63/860.13 = 860.13/x
  3. Step 3: Cross multiply
    571.63x = 860.13 × 860.13
  4. Step 4: Simplify right side
    571.63x = 739,815.02
  5. Step 5: Solve for x
    x = 739,815.02/571.63
  6. Step 6: Final answer
    x = 1,294.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.