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Finding the Third Proportional to 212,898.38 and 329,599.13

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Solution

The third proportional to 212,898.38 and 329,599.13 is: 510,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,898.38 : 329,599.13 = 329,599.13 : x
  2. Step 2: Convert to fraction form
    212,898.38/329,599.13 = 329,599.13/x
  3. Step 3: Cross multiply
    212,898.38x = 329,599.13 × 329,599.13
  4. Step 4: Simplify right side
    212,898.38x = 108,635,583,200.77
  5. Step 5: Solve for x
    x = 108,635,583,200.77/212,898.38
  6. Step 6: Final answer
    x = 510,269.67

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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.