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Finding the Third Proportional to 665,427.75 and 1,442,958

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Solution

The third proportional to 665,427.75 and 1,442,958 is: 3,129,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,427.75 : 1,442,958 = 1,442,958 : x
  2. Step 2: Convert to fraction form
    665,427.75/1,442,958 = 1,442,958/x
  3. Step 3: Cross multiply
    665,427.75x = 1,442,958 × 1,442,958
  4. Step 4: Simplify right side
    665,427.75x = 2,082,127,789,764
  5. Step 5: Solve for x
    x = 2,082,127,789,764/665,427.75
  6. Step 6: Final answer
    x = 3,129,006.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.