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Finding the Third Proportional to 214,290 and 344,115

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Solution

The third proportional to 214,290 and 344,115 is: 552,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,290 : 344,115 = 344,115 : x
  2. Step 2: Convert to fraction form
    214,290/344,115 = 344,115/x
  3. Step 3: Cross multiply
    214,290x = 344,115 × 344,115
  4. Step 4: Simplify right side
    214,290x = 118,415,133,225
  5. Step 5: Solve for x
    x = 118,415,133,225/214,290
  6. Step 6: Final answer
    x = 552,592.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.