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Finding the Third Proportional to 6,386.40 and 8,793.92

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Solution

The third proportional to 6,386.40 and 8,793.92 is: 12,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.40 : 8,793.92 = 8,793.92 : x
  2. Step 2: Convert to fraction form
    6,386.40/8,793.92 = 8,793.92/x
  3. Step 3: Cross multiply
    6,386.40x = 8,793.92 × 8,793.92
  4. Step 4: Simplify right side
    6,386.40x = 77,333,001.83
  5. Step 5: Solve for x
    x = 77,333,001.83/6,386.40
  6. Step 6: Final answer
    x = 12,109.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.