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Finding the Third Proportional to 314,564 and 684,422

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Solution

The third proportional to 314,564 and 684,422 is: 1,489,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,564 : 684,422 = 684,422 : x
  2. Step 2: Convert to fraction form
    314,564/684,422 = 684,422/x
  3. Step 3: Cross multiply
    314,564x = 684,422 × 684,422
  4. Step 4: Simplify right side
    314,564x = 468,433,474,084
  5. Step 5: Solve for x
    x = 468,433,474,084/314,564
  6. Step 6: Final answer
    x = 1,489,151.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.