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Finding the Third Proportional to 756.84 and 1,666.62

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Solution

The third proportional to 756.84 and 1,666.62 is: 3,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.84 : 1,666.62 = 1,666.62 : x
  2. Step 2: Convert to fraction form
    756.84/1,666.62 = 1,666.62/x
  3. Step 3: Cross multiply
    756.84x = 1,666.62 × 1,666.62
  4. Step 4: Simplify right side
    756.84x = 2,777,612.85
  5. Step 5: Solve for x
    x = 2,777,612.85/756.84
  6. Step 6: Final answer
    x = 3,670.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.