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Finding the Third Proportional to 86,890 and 188,230.50

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Solution

The third proportional to 86,890 and 188,230.50 is: 407,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,890 : 188,230.50 = 188,230.50 : x
  2. Step 2: Convert to fraction form
    86,890/188,230.50 = 188,230.50/x
  3. Step 3: Cross multiply
    86,890x = 188,230.50 × 188,230.50
  4. Step 4: Simplify right side
    86,890x = 35,430,721,130.25
  5. Step 5: Solve for x
    x = 35,430,721,130.25/86,890
  6. Step 6: Final answer
    x = 407,765.23

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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.