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Finding the Third Proportional to 91,514 and 198,470

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Solution

The third proportional to 91,514 and 198,470 is: 430,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,514 : 198,470 = 198,470 : x
  2. Step 2: Convert to fraction form
    91,514/198,470 = 198,470/x
  3. Step 3: Cross multiply
    91,514x = 198,470 × 198,470
  4. Step 4: Simplify right side
    91,514x = 39,390,340,900
  5. Step 5: Solve for x
    x = 39,390,340,900/91,514
  6. Step 6: Final answer
    x = 430,429.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.