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Finding the Third Proportional to 64,662.75 and 86,433.75

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Solution

The third proportional to 64,662.75 and 86,433.75 is: 115,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,662.75 : 86,433.75 = 86,433.75 : x
  2. Step 2: Convert to fraction form
    64,662.75/86,433.75 = 86,433.75/x
  3. Step 3: Cross multiply
    64,662.75x = 86,433.75 × 86,433.75
  4. Step 4: Simplify right side
    64,662.75x = 7,470,793,139.06
  5. Step 5: Solve for x
    x = 7,470,793,139.06/64,662.75
  6. Step 6: Final answer
    x = 115,534.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.