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Finding the Third Proportional to 149,681 and 320,116

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Solution

The third proportional to 149,681 and 320,116 is: 684,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,681 : 320,116 = 320,116 : x
  2. Step 2: Convert to fraction form
    149,681/320,116 = 320,116/x
  3. Step 3: Cross multiply
    149,681x = 320,116 × 320,116
  4. Step 4: Simplify right side
    149,681x = 102,474,253,456
  5. Step 5: Solve for x
    x = 102,474,253,456/149,681
  6. Step 6: Final answer
    x = 684,617.64

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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.