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Finding the Third Proportional to 412,127 and 878,688

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Solution

The third proportional to 412,127 and 878,688 is: 1,873,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,127 : 878,688 = 878,688 : x
  2. Step 2: Convert to fraction form
    412,127/878,688 = 878,688/x
  3. Step 3: Cross multiply
    412,127x = 878,688 × 878,688
  4. Step 4: Simplify right side
    412,127x = 772,092,601,344
  5. Step 5: Solve for x
    x = 772,092,601,344/412,127
  6. Step 6: Final answer
    x = 1,873,433.68

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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.