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Finding the Third Proportional to 7,654.50 and 8,634.09

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Solution

The third proportional to 7,654.50 and 8,634.09 is: 9,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.50 : 8,634.09 = 8,634.09 : x
  2. Step 2: Convert to fraction form
    7,654.50/8,634.09 = 8,634.09/x
  3. Step 3: Cross multiply
    7,654.50x = 8,634.09 × 8,634.09
  4. Step 4: Simplify right side
    7,654.50x = 74,547,574.88
  5. Step 5: Solve for x
    x = 74,547,574.88/7,654.50
  6. Step 6: Final answer
    x = 9,739.05

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.