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Finding the Third Proportional to 137,409 and 298,314

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Solution

The third proportional to 137,409 and 298,314 is: 647,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,409 : 298,314 = 298,314 : x
  2. Step 2: Convert to fraction form
    137,409/298,314 = 298,314/x
  3. Step 3: Cross multiply
    137,409x = 298,314 × 298,314
  4. Step 4: Simplify right side
    137,409x = 88,991,242,596
  5. Step 5: Solve for x
    x = 88,991,242,596/137,409
  6. Step 6: Final answer
    x = 647,637.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.