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Finding the Third Proportional to 859.78 and 1,315.41

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Solution

The third proportional to 859.78 and 1,315.41 is: 2,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.78 : 1,315.41 = 1,315.41 : x
  2. Step 2: Convert to fraction form
    859.78/1,315.41 = 1,315.41/x
  3. Step 3: Cross multiply
    859.78x = 1,315.41 × 1,315.41
  4. Step 4: Simplify right side
    859.78x = 1,730,293.60
  5. Step 5: Solve for x
    x = 1,730,293.60/859.78
  6. Step 6: Final answer
    x = 2,012.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.