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Finding the Third Proportional to 131,531 and 285,194.50

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Solution

The third proportional to 131,531 and 285,194.50 is: 618,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,531 : 285,194.50 = 285,194.50 : x
  2. Step 2: Convert to fraction form
    131,531/285,194.50 = 285,194.50/x
  3. Step 3: Cross multiply
    131,531x = 285,194.50 × 285,194.50
  4. Step 4: Simplify right side
    131,531x = 81,335,902,830.25
  5. Step 5: Solve for x
    x = 81,335,902,830.25/131,531
  6. Step 6: Final answer
    x = 618,378.20

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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.