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Finding the Third Proportional to 64,699.50 and 137,175

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Solution

The third proportional to 64,699.50 and 137,175 is: 290,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,699.50 : 137,175 = 137,175 : x
  2. Step 2: Convert to fraction form
    64,699.50/137,175 = 137,175/x
  3. Step 3: Cross multiply
    64,699.50x = 137,175 × 137,175
  4. Step 4: Simplify right side
    64,699.50x = 18,816,980,625
  5. Step 5: Solve for x
    x = 18,816,980,625/64,699.50
  6. Step 6: Final answer
    x = 290,836.57

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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.