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Finding the Third Proportional to 311,342 and 684,894

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Solution

The third proportional to 311,342 and 684,894 is: 1,506,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,342 : 684,894 = 684,894 : x
  2. Step 2: Convert to fraction form
    311,342/684,894 = 684,894/x
  3. Step 3: Cross multiply
    311,342x = 684,894 × 684,894
  4. Step 4: Simplify right side
    311,342x = 469,079,791,236
  5. Step 5: Solve for x
    x = 469,079,791,236/311,342
  6. Step 6: Final answer
    x = 1,506,638.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.