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Finding the Third Proportional to 212,864 and 329,584

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Solution

The third proportional to 212,864 and 329,584 is: 510,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,864 : 329,584 = 329,584 : x
  2. Step 2: Convert to fraction form
    212,864/329,584 = 329,584/x
  3. Step 3: Cross multiply
    212,864x = 329,584 × 329,584
  4. Step 4: Simplify right side
    212,864x = 108,625,613,056
  5. Step 5: Solve for x
    x = 108,625,613,056/212,864
  6. Step 6: Final answer
    x = 510,305.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.