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Finding the Third Proportional to 64,276.97 and 138,431.53

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Solution

The third proportional to 64,276.97 and 138,431.53 is: 298,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,276.97 : 138,431.53 = 138,431.53 : x
  2. Step 2: Convert to fraction form
    64,276.97/138,431.53 = 138,431.53/x
  3. Step 3: Cross multiply
    64,276.97x = 138,431.53 × 138,431.53
  4. Step 4: Simplify right side
    64,276.97x = 19,163,288,844.22
  5. Step 5: Solve for x
    x = 19,163,288,844.22/64,276.97
  6. Step 6: Final answer
    x = 298,136.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.