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Finding the Third Proportional to 212,770 and 329,442

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Solution

The third proportional to 212,770 and 329,442 is: 510,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,770 : 329,442 = 329,442 : x
  2. Step 2: Convert to fraction form
    212,770/329,442 = 329,442/x
  3. Step 3: Cross multiply
    212,770x = 329,442 × 329,442
  4. Step 4: Simplify right side
    212,770x = 108,532,031,364
  5. Step 5: Solve for x
    x = 108,532,031,364/212,770
  6. Step 6: Final answer
    x = 510,090.86

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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.