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Finding the Third Proportional to 247,988 and 371,021

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Solution

The third proportional to 247,988 and 371,021 is: 555,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,988 : 371,021 = 371,021 : x
  2. Step 2: Convert to fraction form
    247,988/371,021 = 371,021/x
  3. Step 3: Cross multiply
    247,988x = 371,021 × 371,021
  4. Step 4: Simplify right side
    247,988x = 137,656,582,441
  5. Step 5: Solve for x
    x = 137,656,582,441/247,988
  6. Step 6: Final answer
    x = 555,093.72

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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.