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Finding the Third Proportional to 420.19 and 1,077.05

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Solution

The third proportional to 420.19 and 1,077.05 is: 2,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.19 : 1,077.05 = 1,077.05 : x
  2. Step 2: Convert to fraction form
    420.19/1,077.05 = 1,077.05/x
  3. Step 3: Cross multiply
    420.19x = 1,077.05 × 1,077.05
  4. Step 4: Simplify right side
    420.19x = 1,160,029.97
  5. Step 5: Solve for x
    x = 1,160,029.97/420.19
  6. Step 6: Final answer
    x = 2,760.74

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.