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Finding the Third Proportional to 149,554.28 and 320,127.46

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Solution

The third proportional to 149,554.28 and 320,127.46 is: 685,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,554.28 : 320,127.46 = 320,127.46 : x
  2. Step 2: Convert to fraction form
    149,554.28/320,127.46 = 320,127.46/x
  3. Step 3: Cross multiply
    149,554.28x = 320,127.46 × 320,127.46
  4. Step 4: Simplify right side
    149,554.28x = 102,481,593,434.67
  5. Step 5: Solve for x
    x = 102,481,593,434.67/149,554.28
  6. Step 6: Final answer
    x = 685,246.82

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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.