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Finding the Third Proportional to 247,079 and 369,511

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Solution

The third proportional to 247,079 and 369,511 is: 552,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,079 : 369,511 = 369,511 : x
  2. Step 2: Convert to fraction form
    247,079/369,511 = 369,511/x
  3. Step 3: Cross multiply
    247,079x = 369,511 × 369,511
  4. Step 4: Simplify right side
    247,079x = 136,538,379,121
  5. Step 5: Solve for x
    x = 136,538,379,121/247,079
  6. Step 6: Final answer
    x = 552,610.21

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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.