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Finding the Third Proportional to 1,130.34 and 1,728.08

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Solution

The third proportional to 1,130.34 and 1,728.08 is: 2,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.34 : 1,728.08 = 1,728.08 : x
  2. Step 2: Convert to fraction form
    1,130.34/1,728.08 = 1,728.08/x
  3. Step 3: Cross multiply
    1,130.34x = 1,728.08 × 1,728.08
  4. Step 4: Simplify right side
    1,130.34x = 2,986,268.77
  5. Step 5: Solve for x
    x = 2,986,268.77/1,130.34
  6. Step 6: Final answer
    x = 2,641.92

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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.