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Finding the Third Proportional to 5,103.42 and 6,898.92

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Solution

The third proportional to 5,103.42 and 6,898.92 is: 9,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.42 : 6,898.92 = 6,898.92 : x
  2. Step 2: Convert to fraction form
    5,103.42/6,898.92 = 6,898.92/x
  3. Step 3: Cross multiply
    5,103.42x = 6,898.92 × 6,898.92
  4. Step 4: Simplify right side
    5,103.42x = 47,595,123.04
  5. Step 5: Solve for x
    x = 47,595,123.04/5,103.42
  6. Step 6: Final answer
    x = 9,326.12

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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.