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Finding the Third Proportional to 212,960 and 329,700

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Solution

The third proportional to 212,960 and 329,700 is: 510,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,960 : 329,700 = 329,700 : x
  2. Step 2: Convert to fraction form
    212,960/329,700 = 329,700/x
  3. Step 3: Cross multiply
    212,960x = 329,700 × 329,700
  4. Step 4: Simplify right side
    212,960x = 108,702,090,000
  5. Step 5: Solve for x
    x = 108,702,090,000/212,960
  6. Step 6: Final answer
    x = 510,434.31

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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.