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Finding the Third Proportional to 131,536 and 285,212

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Solution

The third proportional to 131,536 and 285,212 is: 618,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,536 : 285,212 = 285,212 : x
  2. Step 2: Convert to fraction form
    131,536/285,212 = 285,212/x
  3. Step 3: Cross multiply
    131,536x = 285,212 × 285,212
  4. Step 4: Simplify right side
    131,536x = 81,345,884,944
  5. Step 5: Solve for x
    x = 81,345,884,944/131,536
  6. Step 6: Final answer
    x = 618,430.58

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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.