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Finding the Third Proportional to 212,952 and 329,688

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Solution

The third proportional to 212,952 and 329,688 is: 510,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,952 : 329,688 = 329,688 : x
  2. Step 2: Convert to fraction form
    212,952/329,688 = 329,688/x
  3. Step 3: Cross multiply
    212,952x = 329,688 × 329,688
  4. Step 4: Simplify right side
    212,952x = 108,694,177,344
  5. Step 5: Solve for x
    x = 108,694,177,344/212,952
  6. Step 6: Final answer
    x = 510,416.33

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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.