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Finding the Third Proportional to 212,020 and 329,550

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Solution

The third proportional to 212,020 and 329,550 is: 512,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,020 : 329,550 = 329,550 : x
  2. Step 2: Convert to fraction form
    212,020/329,550 = 329,550/x
  3. Step 3: Cross multiply
    212,020x = 329,550 × 329,550
  4. Step 4: Simplify right side
    212,020x = 108,603,202,500
  5. Step 5: Solve for x
    x = 108,603,202,500/212,020
  6. Step 6: Final answer
    x = 512,230.93

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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.