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Finding the Third Proportional to 851.06 and 1,281.66

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Solution

The third proportional to 851.06 and 1,281.66 is: 1,930.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.06 : 1,281.66 = 1,281.66 : x
  2. Step 2: Convert to fraction form
    851.06/1,281.66 = 1,281.66/x
  3. Step 3: Cross multiply
    851.06x = 1,281.66 × 1,281.66
  4. Step 4: Simplify right side
    851.06x = 1,642,642.74
  5. Step 5: Solve for x
    x = 1,642,642.74/851.06
  6. Step 6: Final answer
    x = 1,930.11

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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.