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Finding the Third Proportional to 212,905.13 and 329,609.25

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Solution

The third proportional to 212,905.13 and 329,609.25 is: 510,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,905.13 : 329,609.25 = 329,609.25 : x
  2. Step 2: Convert to fraction form
    212,905.13/329,609.25 = 329,609.25/x
  3. Step 3: Cross multiply
    212,905.13x = 329,609.25 × 329,609.25
  4. Step 4: Simplify right side
    212,905.13x = 108,642,257,685.56
  5. Step 5: Solve for x
    x = 108,642,257,685.56/212,905.13
  6. Step 6: Final answer
    x = 510,284.84

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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.