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Finding the Third Proportional to 64,716 and 137,145

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Solution

The third proportional to 64,716 and 137,145 is: 290,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,716 : 137,145 = 137,145 : x
  2. Step 2: Convert to fraction form
    64,716/137,145 = 137,145/x
  3. Step 3: Cross multiply
    64,716x = 137,145 × 137,145
  4. Step 4: Simplify right side
    64,716x = 18,808,751,025
  5. Step 5: Solve for x
    x = 18,808,751,025/64,716
  6. Step 6: Final answer
    x = 290,635.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.