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Finding the Third Proportional to 64,987.31 and 142,716.94

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Solution

The third proportional to 64,987.31 and 142,716.94 is: 313,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,987.31 : 142,716.94 = 142,716.94 : x
  2. Step 2: Convert to fraction form
    64,987.31/142,716.94 = 142,716.94/x
  3. Step 3: Cross multiply
    64,987.31x = 142,716.94 × 142,716.94
  4. Step 4: Simplify right side
    64,987.31x = 20,368,124,249.38
  5. Step 5: Solve for x
    x = 20,368,124,249.38/64,987.31
  6. Step 6: Final answer
    x = 313,416.93

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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.