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Finding the Third Proportional to 247,176 and 542,478

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Solution

The third proportional to 247,176 and 542,478 is: 1,190,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,176 : 542,478 = 542,478 : x
  2. Step 2: Convert to fraction form
    247,176/542,478 = 542,478/x
  3. Step 3: Cross multiply
    247,176x = 542,478 × 542,478
  4. Step 4: Simplify right side
    247,176x = 294,282,380,484
  5. Step 5: Solve for x
    x = 294,282,380,484/247,176
  6. Step 6: Final answer
    x = 1,190,578.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.