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Finding the Third Proportional to 64,665 and 137,133

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Solution

The third proportional to 64,665 and 137,133 is: 290,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,665 : 137,133 = 137,133 : x
  2. Step 2: Convert to fraction form
    64,665/137,133 = 137,133/x
  3. Step 3: Cross multiply
    64,665x = 137,133 × 137,133
  4. Step 4: Simplify right side
    64,665x = 18,805,459,689
  5. Step 5: Solve for x
    x = 18,805,459,689/64,665
  6. Step 6: Final answer
    x = 290,813.57

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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.