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Finding the Third Proportional to 4,877.09 and 8,020.90

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Solution

The third proportional to 4,877.09 and 8,020.90 is: 13,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.09 : 8,020.90 = 8,020.90 : x
  2. Step 2: Convert to fraction form
    4,877.09/8,020.90 = 8,020.90/x
  3. Step 3: Cross multiply
    4,877.09x = 8,020.90 × 8,020.90
  4. Step 4: Simplify right side
    4,877.09x = 64,334,811.74
  5. Step 5: Solve for x
    x = 64,334,811.74/4,877.09
  6. Step 6: Final answer
    x = 13,191.24

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.