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Finding the Third Proportional to 86,427 and 186,907.50

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Solution

The third proportional to 86,427 and 186,907.50 is: 404,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,427 : 186,907.50 = 186,907.50 : x
  2. Step 2: Convert to fraction form
    86,427/186,907.50 = 186,907.50/x
  3. Step 3: Cross multiply
    86,427x = 186,907.50 × 186,907.50
  4. Step 4: Simplify right side
    86,427x = 34,934,413,556.25
  5. Step 5: Solve for x
    x = 34,934,413,556.25/86,427
  6. Step 6: Final answer
    x = 404,207.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.