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Finding the Third Proportional to 2,565.75 and 4,078.88

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Solution

The third proportional to 2,565.75 and 4,078.88 is: 6,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.75 : 4,078.88 = 4,078.88 : x
  2. Step 2: Convert to fraction form
    2,565.75/4,078.88 = 4,078.88/x
  3. Step 3: Cross multiply
    2,565.75x = 4,078.88 × 4,078.88
  4. Step 4: Simplify right side
    2,565.75x = 16,637,221.27
  5. Step 5: Solve for x
    x = 16,637,221.27/2,565.75
  6. Step 6: Final answer
    x = 6,484.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.