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Finding the Third Proportional to 4,155.09 and 6,386.40

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Solution

The third proportional to 4,155.09 and 6,386.40 is: 9,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.09 : 6,386.40 = 6,386.40 : x
  2. Step 2: Convert to fraction form
    4,155.09/6,386.40 = 6,386.40/x
  3. Step 3: Cross multiply
    4,155.09x = 6,386.40 × 6,386.40
  4. Step 4: Simplify right side
    4,155.09x = 40,786,144.25
  5. Step 5: Solve for x
    x = 40,786,144.25/4,155.09
  6. Step 6: Final answer
    x = 9,815.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.