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Finding the Third Proportional to 137,257.50 and 296,385

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Solution

The third proportional to 137,257.50 and 296,385 is: 639,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,257.50 : 296,385 = 296,385 : x
  2. Step 2: Convert to fraction form
    137,257.50/296,385 = 296,385/x
  3. Step 3: Cross multiply
    137,257.50x = 296,385 × 296,385
  4. Step 4: Simplify right side
    137,257.50x = 87,844,068,225
  5. Step 5: Solve for x
    x = 87,844,068,225/137,257.50
  6. Step 6: Final answer
    x = 639,994.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.