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Finding the Third Proportional to 838.52 and 1,815.14

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Solution

The third proportional to 838.52 and 1,815.14 is: 3,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.52 : 1,815.14 = 1,815.14 : x
  2. Step 2: Convert to fraction form
    838.52/1,815.14 = 1,815.14/x
  3. Step 3: Cross multiply
    838.52x = 1,815.14 × 1,815.14
  4. Step 4: Simplify right side
    838.52x = 3,294,746.12
  5. Step 5: Solve for x
    x = 3,294,746.12/838.52
  6. Step 6: Final answer
    x = 3,929.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.