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Finding the Third Proportional to 3,066.08 and 6,500.78

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Solution

The third proportional to 3,066.08 and 6,500.78 is: 13,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.08 : 6,500.78 = 6,500.78 : x
  2. Step 2: Convert to fraction form
    3,066.08/6,500.78 = 6,500.78/x
  3. Step 3: Cross multiply
    3,066.08x = 6,500.78 × 6,500.78
  4. Step 4: Simplify right side
    3,066.08x = 42,260,106.07
  5. Step 5: Solve for x
    x = 42,260,106.07/3,066.08
  6. Step 6: Final answer
    x = 13,783.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.