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Finding the Third Proportional to 851.16 and 1,155.14

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Solution

The third proportional to 851.16 and 1,155.14 is: 1,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.16 : 1,155.14 = 1,155.14 : x
  2. Step 2: Convert to fraction form
    851.16/1,155.14 = 1,155.14/x
  3. Step 3: Cross multiply
    851.16x = 1,155.14 × 1,155.14
  4. Step 4: Simplify right side
    851.16x = 1,334,349.86
  5. Step 5: Solve for x
    x = 1,334,349.86/851.16
  6. Step 6: Final answer
    x = 1,567.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.