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Finding the Third Proportional to 317,542 and 684,942

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Solution

The third proportional to 317,542 and 684,942 is: 1,477,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,542 : 684,942 = 684,942 : x
  2. Step 2: Convert to fraction form
    317,542/684,942 = 684,942/x
  3. Step 3: Cross multiply
    317,542x = 684,942 × 684,942
  4. Step 4: Simplify right side
    317,542x = 469,145,543,364
  5. Step 5: Solve for x
    x = 469,145,543,364/317,542
  6. Step 6: Final answer
    x = 1,477,428.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.