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Finding the Third Proportional to 212,859 and 329,611.50

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Solution

The third proportional to 212,859 and 329,611.50 is: 510,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,859 : 329,611.50 = 329,611.50 : x
  2. Step 2: Convert to fraction form
    212,859/329,611.50 = 329,611.50/x
  3. Step 3: Cross multiply
    212,859x = 329,611.50 × 329,611.50
  4. Step 4: Simplify right side
    212,859x = 108,643,740,932.25
  5. Step 5: Solve for x
    x = 108,643,740,932.25/212,859
  6. Step 6: Final answer
    x = 510,402.38

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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.