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Finding the Third Proportional to 365,000 and 488,238

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Solution

The third proportional to 365,000 and 488,238 is: 653,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,000 : 488,238 = 488,238 : x
  2. Step 2: Convert to fraction form
    365,000/488,238 = 488,238/x
  3. Step 3: Cross multiply
    365,000x = 488,238 × 488,238
  4. Step 4: Simplify right side
    365,000x = 238,376,344,644
  5. Step 5: Solve for x
    x = 238,376,344,644/365,000
  6. Step 6: Final answer
    x = 653,085.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.