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Finding the Third Proportional to 755.09 and 1,155.16

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Solution

The third proportional to 755.09 and 1,155.16 is: 1,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.09 : 1,155.16 = 1,155.16 : x
  2. Step 2: Convert to fraction form
    755.09/1,155.16 = 1,155.16/x
  3. Step 3: Cross multiply
    755.09x = 1,155.16 × 1,155.16
  4. Step 4: Simplify right side
    755.09x = 1,334,404.01
  5. Step 5: Solve for x
    x = 1,334,404.01/755.09
  6. Step 6: Final answer
    x = 1,767.22

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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.