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Finding the Third Proportional to 86,360 and 187,888

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Solution

The third proportional to 86,360 and 187,888 is: 408,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,360 : 187,888 = 187,888 : x
  2. Step 2: Convert to fraction form
    86,360/187,888 = 187,888/x
  3. Step 3: Cross multiply
    86,360x = 187,888 × 187,888
  4. Step 4: Simplify right side
    86,360x = 35,301,900,544
  5. Step 5: Solve for x
    x = 35,301,900,544/86,360
  6. Step 6: Final answer
    x = 408,776.06

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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.