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Finding the Third Proportional to 137,408.91 and 298,312.88

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Solution

The third proportional to 137,408.91 and 298,312.88 is: 647,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,408.91 : 298,312.88 = 298,312.88 : x
  2. Step 2: Convert to fraction form
    137,408.91/298,312.88 = 298,312.88/x
  3. Step 3: Cross multiply
    137,408.91x = 298,312.88 × 298,312.88
  4. Step 4: Simplify right side
    137,408.91x = 88,990,571,390.77
  5. Step 5: Solve for x
    x = 88,990,571,390.77/137,408.91
  6. Step 6: Final answer
    x = 647,633.21

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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.