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Finding the Third Proportional to 86,266 and 187,720

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Solution

The third proportional to 86,266 and 187,720 is: 408,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,266 : 187,720 = 187,720 : x
  2. Step 2: Convert to fraction form
    86,266/187,720 = 187,720/x
  3. Step 3: Cross multiply
    86,266x = 187,720 × 187,720
  4. Step 4: Simplify right side
    86,266x = 35,238,798,400
  5. Step 5: Solve for x
    x = 35,238,798,400/86,266
  6. Step 6: Final answer
    x = 408,490.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.