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Finding the Third Proportional to 212,592 and 329,157

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Solution

The third proportional to 212,592 and 329,157 is: 509,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,592 : 329,157 = 329,157 : x
  2. Step 2: Convert to fraction form
    212,592/329,157 = 329,157/x
  3. Step 3: Cross multiply
    212,592x = 329,157 × 329,157
  4. Step 4: Simplify right side
    212,592x = 108,344,330,649
  5. Step 5: Solve for x
    x = 108,344,330,649/212,592
  6. Step 6: Final answer
    x = 509,635.03

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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.