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Finding the Third Proportional to 136,814 and 197,970

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Solution

The third proportional to 136,814 and 197,970 is: 286,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,814 : 197,970 = 197,970 : x
  2. Step 2: Convert to fraction form
    136,814/197,970 = 197,970/x
  3. Step 3: Cross multiply
    136,814x = 197,970 × 197,970
  4. Step 4: Simplify right side
    136,814x = 39,192,120,900
  5. Step 5: Solve for x
    x = 39,192,120,900/136,814
  6. Step 6: Final answer
    x = 286,462.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.