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Finding the Third Proportional to 122,516 and 197,374

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Solution

The third proportional to 122,516 and 197,374 is: 317,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,516 : 197,374 = 197,374 : x
  2. Step 2: Convert to fraction form
    122,516/197,374 = 197,374/x
  3. Step 3: Cross multiply
    122,516x = 197,374 × 197,374
  4. Step 4: Simplify right side
    122,516x = 38,956,495,876
  5. Step 5: Solve for x
    x = 38,956,495,876/122,516
  6. Step 6: Final answer
    x = 317,970.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.