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Finding the Third Proportional to 87,835 and 207,272

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Solution

The third proportional to 87,835 and 207,272 is: 489,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,835 : 207,272 = 207,272 : x
  2. Step 2: Convert to fraction form
    87,835/207,272 = 207,272/x
  3. Step 3: Cross multiply
    87,835x = 207,272 × 207,272
  4. Step 4: Simplify right side
    87,835x = 42,961,681,984
  5. Step 5: Solve for x
    x = 42,961,681,984/87,835
  6. Step 6: Final answer
    x = 489,118.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.