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Finding the Third Proportional to 91,952 and 197,028

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Solution

The third proportional to 91,952 and 197,028 is: 422,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,952 : 197,028 = 197,028 : x
  2. Step 2: Convert to fraction form
    91,952/197,028 = 197,028/x
  3. Step 3: Cross multiply
    91,952x = 197,028 × 197,028
  4. Step 4: Simplify right side
    91,952x = 38,820,032,784
  5. Step 5: Solve for x
    x = 38,820,032,784/91,952
  6. Step 6: Final answer
    x = 422,177.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.