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Finding the Third Proportional to 64,296 and 137,088

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Solution

The third proportional to 64,296 and 137,088 is: 292,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,296 : 137,088 = 137,088 : x
  2. Step 2: Convert to fraction form
    64,296/137,088 = 137,088/x
  3. Step 3: Cross multiply
    64,296x = 137,088 × 137,088
  4. Step 4: Simplify right side
    64,296x = 18,793,119,744
  5. Step 5: Solve for x
    x = 18,793,119,744/64,296
  6. Step 6: Final answer
    x = 292,290.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.