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Finding the Third Proportional to 361,284 and 508,317

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Solution

The third proportional to 361,284 and 508,317 is: 715,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,284 : 508,317 = 508,317 : x
  2. Step 2: Convert to fraction form
    361,284/508,317 = 508,317/x
  3. Step 3: Cross multiply
    361,284x = 508,317 × 508,317
  4. Step 4: Simplify right side
    361,284x = 258,386,172,489
  5. Step 5: Solve for x
    x = 258,386,172,489/361,284
  6. Step 6: Final answer
    x = 715,188.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.