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Finding the Third Proportional to 747,781 and 1,645,087

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Solution

The third proportional to 747,781 and 1,645,087 is: 3,619,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,781 : 1,645,087 = 1,645,087 : x
  2. Step 2: Convert to fraction form
    747,781/1,645,087 = 1,645,087/x
  3. Step 3: Cross multiply
    747,781x = 1,645,087 × 1,645,087
  4. Step 4: Simplify right side
    747,781x = 2,706,311,237,569
  5. Step 5: Solve for x
    x = 2,706,311,237,569/747,781
  6. Step 6: Final answer
    x = 3,619,122.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.