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Finding the Third Proportional to 1,377.55 and 3,011.40

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Solution

The third proportional to 1,377.55 and 3,011.40 is: 6,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.55 : 3,011.40 = 3,011.40 : x
  2. Step 2: Convert to fraction form
    1,377.55/3,011.40 = 3,011.40/x
  3. Step 3: Cross multiply
    1,377.55x = 3,011.40 × 3,011.40
  4. Step 4: Simplify right side
    1,377.55x = 9,068,508.79
  5. Step 5: Solve for x
    x = 9,068,508.79/1,377.55
  6. Step 6: Final answer
    x = 6,583.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.