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Finding the Third Proportional to 361,284 and 508,318

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Solution

The third proportional to 361,284 and 508,318 is: 715,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,284 : 508,318 = 508,318 : x
  2. Step 2: Convert to fraction form
    361,284/508,318 = 508,318/x
  3. Step 3: Cross multiply
    361,284x = 508,318 × 508,318
  4. Step 4: Simplify right side
    361,284x = 258,387,189,124
  5. Step 5: Solve for x
    x = 258,387,189,124/361,284
  6. Step 6: Final answer
    x = 715,191.34

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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.