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Finding the Third Proportional to 86,427 and 207,967.50

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Solution

The third proportional to 86,427 and 207,967.50 is: 500,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,427 : 207,967.50 = 207,967.50 : x
  2. Step 2: Convert to fraction form
    86,427/207,967.50 = 207,967.50/x
  3. Step 3: Cross multiply
    86,427x = 207,967.50 × 207,967.50
  4. Step 4: Simplify right side
    86,427x = 43,250,481,056.25
  5. Step 5: Solve for x
    x = 43,250,481,056.25/86,427
  6. Step 6: Final answer
    x = 500,427.89

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.