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Finding the Third Proportional to 197,913 and 402,738

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Solution

The third proportional to 197,913 and 402,738 is: 819,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,913 : 402,738 = 402,738 : x
  2. Step 2: Convert to fraction form
    197,913/402,738 = 402,738/x
  3. Step 3: Cross multiply
    197,913x = 402,738 × 402,738
  4. Step 4: Simplify right side
    197,913x = 162,197,896,644
  5. Step 5: Solve for x
    x = 162,197,896,644/197,913
  6. Step 6: Final answer
    x = 819,541.40

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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.