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Finding the Third Proportional to 197,914 and 402,740

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Solution

The third proportional to 197,914 and 402,740 is: 819,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,914 : 402,740 = 402,740 : x
  2. Step 2: Convert to fraction form
    197,914/402,740 = 402,740/x
  3. Step 3: Cross multiply
    197,914x = 402,740 × 402,740
  4. Step 4: Simplify right side
    197,914x = 162,199,507,600
  5. Step 5: Solve for x
    x = 162,199,507,600/197,914
  6. Step 6: Final answer
    x = 819,545.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.