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Finding the Third Proportional to 8,154 and 8,930.25

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Solution

The third proportional to 8,154 and 8,930.25 is: 9,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154 : 8,930.25 = 8,930.25 : x
  2. Step 2: Convert to fraction form
    8,154/8,930.25 = 8,930.25/x
  3. Step 3: Cross multiply
    8,154x = 8,930.25 × 8,930.25
  4. Step 4: Simplify right side
    8,154x = 79,749,365.06
  5. Step 5: Solve for x
    x = 79,749,365.06/8,154
  6. Step 6: Final answer
    x = 9,780.40

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.