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Finding the Third Proportional to 212,596 and 329,164

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Solution

The third proportional to 212,596 and 329,164 is: 509,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,596 : 329,164 = 329,164 : x
  2. Step 2: Convert to fraction form
    212,596/329,164 = 329,164/x
  3. Step 3: Cross multiply
    212,596x = 329,164 × 329,164
  4. Step 4: Simplify right side
    212,596x = 108,348,938,896
  5. Step 5: Solve for x
    x = 108,348,938,896/212,596
  6. Step 6: Final answer
    x = 509,647.12

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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.