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Finding the Third Proportional to 197,870 and 438,424

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Solution

The third proportional to 197,870 and 438,424 is: 971,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,870 : 438,424 = 438,424 : x
  2. Step 2: Convert to fraction form
    197,870/438,424 = 438,424/x
  3. Step 3: Cross multiply
    197,870x = 438,424 × 438,424
  4. Step 4: Simplify right side
    197,870x = 192,215,603,776
  5. Step 5: Solve for x
    x = 192,215,603,776/197,870
  6. Step 6: Final answer
    x = 971,423.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.