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Finding the Third Proportional to 197,915 and 402,742

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Solution

The third proportional to 197,915 and 402,742 is: 819,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,915 : 402,742 = 402,742 : x
  2. Step 2: Convert to fraction form
    197,915/402,742 = 402,742/x
  3. Step 3: Cross multiply
    197,915x = 402,742 × 402,742
  4. Step 4: Simplify right side
    197,915x = 162,201,118,564
  5. Step 5: Solve for x
    x = 162,201,118,564/197,915
  6. Step 6: Final answer
    x = 819,549.40

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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.