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Finding the Third Proportional to 151,240 and 222,486

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Solution

The third proportional to 151,240 and 222,486 is: 327,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,240 : 222,486 = 222,486 : x
  2. Step 2: Convert to fraction form
    151,240/222,486 = 222,486/x
  3. Step 3: Cross multiply
    151,240x = 222,486 × 222,486
  4. Step 4: Simplify right side
    151,240x = 49,500,020,196
  5. Step 5: Solve for x
    x = 49,500,020,196/151,240
  6. Step 6: Final answer
    x = 327,294.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.