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Finding the Third Proportional to 64,489.50 and 86,010

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Solution

The third proportional to 64,489.50 and 86,010 is: 114,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,489.50 : 86,010 = 86,010 : x
  2. Step 2: Convert to fraction form
    64,489.50/86,010 = 86,010/x
  3. Step 3: Cross multiply
    64,489.50x = 86,010 × 86,010
  4. Step 4: Simplify right side
    64,489.50x = 7,397,720,100
  5. Step 5: Solve for x
    x = 7,397,720,100/64,489.50
  6. Step 6: Final answer
    x = 114,712.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.