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Finding the Third Proportional to 684,684 and 908,712

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Solution

The third proportional to 684,684 and 908,712 is: 1,206,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,684 : 908,712 = 908,712 : x
  2. Step 2: Convert to fraction form
    684,684/908,712 = 908,712/x
  3. Step 3: Cross multiply
    684,684x = 908,712 × 908,712
  4. Step 4: Simplify right side
    684,684x = 825,757,498,944
  5. Step 5: Solve for x
    x = 825,757,498,944/684,684
  6. Step 6: Final answer
    x = 1,206,041.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.