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Finding the Third Proportional to 855.14 and 1,155.52

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Solution

The third proportional to 855.14 and 1,155.52 is: 1,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.14 : 1,155.52 = 1,155.52 : x
  2. Step 2: Convert to fraction form
    855.14/1,155.52 = 1,155.52/x
  3. Step 3: Cross multiply
    855.14x = 1,155.52 × 1,155.52
  4. Step 4: Simplify right side
    855.14x = 1,335,216.36
  5. Step 5: Solve for x
    x = 1,335,216.36/855.14
  6. Step 6: Final answer
    x = 1,561.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.