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Finding the Third Proportional to 412,908 and 611,688

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Solution

The third proportional to 412,908 and 611,688 is: 906,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,908 : 611,688 = 611,688 : x
  2. Step 2: Convert to fraction form
    412,908/611,688 = 611,688/x
  3. Step 3: Cross multiply
    412,908x = 611,688 × 611,688
  4. Step 4: Simplify right side
    412,908x = 374,162,209,344
  5. Step 5: Solve for x
    x = 374,162,209,344/412,908
  6. Step 6: Final answer
    x = 906,163.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.