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Finding the Third Proportional to 72,486 and 147,021

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Solution

The third proportional to 72,486 and 147,021 is: 298,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,486 : 147,021 = 147,021 : x
  2. Step 2: Convert to fraction form
    72,486/147,021 = 147,021/x
  3. Step 3: Cross multiply
    72,486x = 147,021 × 147,021
  4. Step 4: Simplify right side
    72,486x = 21,615,174,441
  5. Step 5: Solve for x
    x = 21,615,174,441/72,486
  6. Step 6: Final answer
    x = 298,197.92

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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.