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Finding the Third Proportional to 133,628 and 310,742

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Solution

The third proportional to 133,628 and 310,742 is: 722,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,628 : 310,742 = 310,742 : x
  2. Step 2: Convert to fraction form
    133,628/310,742 = 310,742/x
  3. Step 3: Cross multiply
    133,628x = 310,742 × 310,742
  4. Step 4: Simplify right side
    133,628x = 96,560,590,564
  5. Step 5: Solve for x
    x = 96,560,590,564/133,628
  6. Step 6: Final answer
    x = 722,607.47

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.