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Finding the Third Proportional to 64,140 and 136,992

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Solution

The third proportional to 64,140 and 136,992 is: 292,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,140 : 136,992 = 136,992 : x
  2. Step 2: Convert to fraction form
    64,140/136,992 = 136,992/x
  3. Step 3: Cross multiply
    64,140x = 136,992 × 136,992
  4. Step 4: Simplify right side
    64,140x = 18,766,808,064
  5. Step 5: Solve for x
    x = 18,766,808,064/64,140
  6. Step 6: Final answer
    x = 292,591.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.