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Finding the Third Proportional to 64,950.75 and 142,659.75

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Solution

The third proportional to 64,950.75 and 142,659.75 is: 313,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,950.75 : 142,659.75 = 142,659.75 : x
  2. Step 2: Convert to fraction form
    64,950.75/142,659.75 = 142,659.75/x
  3. Step 3: Cross multiply
    64,950.75x = 142,659.75 × 142,659.75
  4. Step 4: Simplify right side
    64,950.75x = 20,351,804,270.06
  5. Step 5: Solve for x
    x = 20,351,804,270.06/64,950.75
  6. Step 6: Final answer
    x = 313,342.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.