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Finding the Third Proportional to 840,377 and 1,809,328

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Solution

The third proportional to 840,377 and 1,809,328 is: 3,895,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,377 : 1,809,328 = 1,809,328 : x
  2. Step 2: Convert to fraction form
    840,377/1,809,328 = 1,809,328/x
  3. Step 3: Cross multiply
    840,377x = 1,809,328 × 1,809,328
  4. Step 4: Simplify right side
    840,377x = 3,273,667,811,584
  5. Step 5: Solve for x
    x = 3,273,667,811,584/840,377
  6. Step 6: Final answer
    x = 3,895,475.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.