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Finding the Third Proportional to 174,309 and 369,543

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Solution

The third proportional to 174,309 and 369,543 is: 783,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,309 : 369,543 = 369,543 : x
  2. Step 2: Convert to fraction form
    174,309/369,543 = 369,543/x
  3. Step 3: Cross multiply
    174,309x = 369,543 × 369,543
  4. Step 4: Simplify right side
    174,309x = 136,562,028,849
  5. Step 5: Solve for x
    x = 136,562,028,849/174,309
  6. Step 6: Final answer
    x = 783,447.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.