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Finding the Third Proportional to 131,584.50 and 285,309

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Solution

The third proportional to 131,584.50 and 285,309 is: 618,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,584.50 : 285,309 = 285,309 : x
  2. Step 2: Convert to fraction form
    131,584.50/285,309 = 285,309/x
  3. Step 3: Cross multiply
    131,584.50x = 285,309 × 285,309
  4. Step 4: Simplify right side
    131,584.50x = 81,401,225,481
  5. Step 5: Solve for x
    x = 81,401,225,481/131,584.50
  6. Step 6: Final answer
    x = 618,623.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.