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Finding the Third Proportional to 684,263 and 985,656

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Solution

The third proportional to 684,263 and 985,656 is: 1,419,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,263 : 985,656 = 985,656 : x
  2. Step 2: Convert to fraction form
    684,263/985,656 = 985,656/x
  3. Step 3: Cross multiply
    684,263x = 985,656 × 985,656
  4. Step 4: Simplify right side
    684,263x = 971,517,750,336
  5. Step 5: Solve for x
    x = 971,517,750,336/684,263
  6. Step 6: Final answer
    x = 1,419,801.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.