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Finding the Third Proportional to 149,839.31 and 318,749.06

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Solution

The third proportional to 149,839.31 and 318,749.06 is: 678,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,839.31 : 318,749.06 = 318,749.06 : x
  2. Step 2: Convert to fraction form
    149,839.31/318,749.06 = 318,749.06/x
  3. Step 3: Cross multiply
    149,839.31x = 318,749.06 × 318,749.06
  4. Step 4: Simplify right side
    149,839.31x = 101,600,964,844.63
  5. Step 5: Solve for x
    x = 101,600,964,844.63/149,839.31
  6. Step 6: Final answer
    x = 678,066.14

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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.