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Finding the Third Proportional to 318,561 and 684,348

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Solution

The third proportional to 318,561 and 684,348 is: 1,470,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,561 : 684,348 = 684,348 : x
  2. Step 2: Convert to fraction form
    318,561/684,348 = 684,348/x
  3. Step 3: Cross multiply
    318,561x = 684,348 × 684,348
  4. Step 4: Simplify right side
    318,561x = 468,332,185,104
  5. Step 5: Solve for x
    x = 468,332,185,104/318,561
  6. Step 6: Final answer
    x = 1,470,149.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.