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Finding the Third Proportional to 212,711 and 329,323

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Solution

The third proportional to 212,711 and 329,323 is: 509,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,711 : 329,323 = 329,323 : x
  2. Step 2: Convert to fraction form
    212,711/329,323 = 329,323/x
  3. Step 3: Cross multiply
    212,711x = 329,323 × 329,323
  4. Step 4: Simplify right side
    212,711x = 108,453,638,329
  5. Step 5: Solve for x
    x = 108,453,638,329/212,711
  6. Step 6: Final answer
    x = 509,863.80

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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.