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Finding the Third Proportional to 642,024 and 1,366,992

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Solution

The third proportional to 642,024 and 1,366,992 is: 2,910,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,024 : 1,366,992 = 1,366,992 : x
  2. Step 2: Convert to fraction form
    642,024/1,366,992 = 1,366,992/x
  3. Step 3: Cross multiply
    642,024x = 1,366,992 × 1,366,992
  4. Step 4: Simplify right side
    642,024x = 1,868,667,128,064
  5. Step 5: Solve for x
    x = 1,868,667,128,064/642,024
  6. Step 6: Final answer
    x = 2,910,587.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.