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Finding the Third Proportional to 128,952 and 197,244

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Solution

The third proportional to 128,952 and 197,244 is: 301,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,952 : 197,244 = 197,244 : x
  2. Step 2: Convert to fraction form
    128,952/197,244 = 197,244/x
  3. Step 3: Cross multiply
    128,952x = 197,244 × 197,244
  4. Step 4: Simplify right side
    128,952x = 38,905,195,536
  5. Step 5: Solve for x
    x = 38,905,195,536/128,952
  6. Step 6: Final answer
    x = 301,702.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.