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Finding the Third Proportional to 649,629 and 1,370,349

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Solution

The third proportional to 649,629 and 1,370,349 is: 2,890,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,629 : 1,370,349 = 1,370,349 : x
  2. Step 2: Convert to fraction form
    649,629/1,370,349 = 1,370,349/x
  3. Step 3: Cross multiply
    649,629x = 1,370,349 × 1,370,349
  4. Step 4: Simplify right side
    649,629x = 1,877,856,381,801
  5. Step 5: Solve for x
    x = 1,877,856,381,801/649,629
  6. Step 6: Final answer
    x = 2,890,659.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.