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Finding the Third Proportional to 64,526.63 and 138,940.31

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Solution

The third proportional to 64,526.63 and 138,940.31 is: 299,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,526.63 : 138,940.31 = 138,940.31 : x
  2. Step 2: Convert to fraction form
    64,526.63/138,940.31 = 138,940.31/x
  3. Step 3: Cross multiply
    64,526.63x = 138,940.31 × 138,940.31
  4. Step 4: Simplify right side
    64,526.63x = 19,304,410,437.60
  5. Step 5: Solve for x
    x = 19,304,410,437.60/64,526.63
  6. Step 6: Final answer
    x = 299,169.69

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