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Finding the Third Proportional to 8,430.75 and 12,976.88

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Solution

The third proportional to 8,430.75 and 12,976.88 is: 19,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.75 : 12,976.88 = 12,976.88 : x
  2. Step 2: Convert to fraction form
    8,430.75/12,976.88 = 12,976.88/x
  3. Step 3: Cross multiply
    8,430.75x = 12,976.88 × 12,976.88
  4. Step 4: Simplify right side
    8,430.75x = 168,399,284.77
  5. Step 5: Solve for x
    x = 168,399,284.77/8,430.75
  6. Step 6: Final answer
    x = 19,974.41

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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.