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Finding the Third Proportional to 197,861 and 402,709

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Solution

The third proportional to 197,861 and 402,709 is: 819,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,861 : 402,709 = 402,709 : x
  2. Step 2: Convert to fraction form
    197,861/402,709 = 402,709/x
  3. Step 3: Cross multiply
    197,861x = 402,709 × 402,709
  4. Step 4: Simplify right side
    197,861x = 162,174,538,681
  5. Step 5: Solve for x
    x = 162,174,538,681/197,861
  6. Step 6: Final answer
    x = 819,638.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.