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Finding the Third Proportional to 1,077.05 and 1,646.58

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Solution

The third proportional to 1,077.05 and 1,646.58 is: 2,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.05 : 1,646.58 = 1,646.58 : x
  2. Step 2: Convert to fraction form
    1,077.05/1,646.58 = 1,646.58/x
  3. Step 3: Cross multiply
    1,077.05x = 1,646.58 × 1,646.58
  4. Step 4: Simplify right side
    1,077.05x = 2,711,219.52
  5. Step 5: Solve for x
    x = 2,711,219.52/1,077.05
  6. Step 6: Final answer
    x = 2,517.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.