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Finding the Third Proportional to 781,311 and 1,584,357

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Solution

The third proportional to 781,311 and 1,584,357 is: 3,212,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,311 : 1,584,357 = 1,584,357 : x
  2. Step 2: Convert to fraction form
    781,311/1,584,357 = 1,584,357/x
  3. Step 3: Cross multiply
    781,311x = 1,584,357 × 1,584,357
  4. Step 4: Simplify right side
    781,311x = 2,510,187,103,449
  5. Step 5: Solve for x
    x = 2,510,187,103,449/781,311
  6. Step 6: Final answer
    x = 3,212,788.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.