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Finding the Third Proportional to 412,140 and 878,716

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Solution

The third proportional to 412,140 and 878,716 is: 1,873,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,140 : 878,716 = 878,716 : x
  2. Step 2: Convert to fraction form
    412,140/878,716 = 878,716/x
  3. Step 3: Cross multiply
    412,140x = 878,716 × 878,716
  4. Step 4: Simplify right side
    412,140x = 772,141,808,656
  5. Step 5: Solve for x
    x = 772,141,808,656/412,140
  6. Step 6: Final answer
    x = 1,873,493.98

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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.