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Finding the Third Proportional to 680,138 and 999,471

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Solution

The third proportional to 680,138 and 999,471 is: 1,468,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,138 : 999,471 = 999,471 : x
  2. Step 2: Convert to fraction form
    680,138/999,471 = 999,471/x
  3. Step 3: Cross multiply
    680,138x = 999,471 × 999,471
  4. Step 4: Simplify right side
    680,138x = 998,942,279,841
  5. Step 5: Solve for x
    x = 998,942,279,841/680,138
  6. Step 6: Final answer
    x = 1,468,734.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.