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Finding the Third Proportional to 113,378 and 247,478

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Solution

The third proportional to 113,378 and 247,478 is: 540,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,378 : 247,478 = 247,478 : x
  2. Step 2: Convert to fraction form
    113,378/247,478 = 247,478/x
  3. Step 3: Cross multiply
    113,378x = 247,478 × 247,478
  4. Step 4: Simplify right side
    113,378x = 61,245,360,484
  5. Step 5: Solve for x
    x = 61,245,360,484/113,378
  6. Step 6: Final answer
    x = 540,187.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.