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Finding the Third Proportional to 8,177.88 and 12,970.34

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Solution

The third proportional to 8,177.88 and 12,970.34 is: 20,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.88 : 12,970.34 = 12,970.34 : x
  2. Step 2: Convert to fraction form
    8,177.88/12,970.34 = 12,970.34/x
  3. Step 3: Cross multiply
    8,177.88x = 12,970.34 × 12,970.34
  4. Step 4: Simplify right side
    8,177.88x = 168,229,816.99
  5. Step 5: Solve for x
    x = 168,229,816.99/8,177.88
  6. Step 6: Final answer
    x = 20,571.34

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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.