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Finding the Third Proportional to 1,130.52 and 1,815.38

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Solution

The third proportional to 1,130.52 and 1,815.38 is: 2,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.52 : 1,815.38 = 1,815.38 : x
  2. Step 2: Convert to fraction form
    1,130.52/1,815.38 = 1,815.38/x
  3. Step 3: Cross multiply
    1,130.52x = 1,815.38 × 1,815.38
  4. Step 4: Simplify right side
    1,130.52x = 3,295,607.66
  5. Step 5: Solve for x
    x = 3,295,607.66/1,130.52
  6. Step 6: Final answer
    x = 2,915.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.