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Finding the Third Proportional to 212,968 and 329,713

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Solution

The third proportional to 212,968 and 329,713 is: 510,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,968 : 329,713 = 329,713 : x
  2. Step 2: Convert to fraction form
    212,968/329,713 = 329,713/x
  3. Step 3: Cross multiply
    212,968x = 329,713 × 329,713
  4. Step 4: Simplify right side
    212,968x = 108,710,662,369
  5. Step 5: Solve for x
    x = 108,710,662,369/212,968
  6. Step 6: Final answer
    x = 510,455.38

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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.