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Finding the Third Proportional to 151,312 and 227,621

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Solution

The third proportional to 151,312 and 227,621 is: 342,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,312 : 227,621 = 227,621 : x
  2. Step 2: Convert to fraction form
    151,312/227,621 = 227,621/x
  3. Step 3: Cross multiply
    151,312x = 227,621 × 227,621
  4. Step 4: Simplify right side
    151,312x = 51,811,319,641
  5. Step 5: Solve for x
    x = 51,811,319,641/151,312
  6. Step 6: Final answer
    x = 342,413.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.