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Finding the Third Proportional to 149,661 and 320,076

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Solution

The third proportional to 149,661 and 320,076 is: 684,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,661 : 320,076 = 320,076 : x
  2. Step 2: Convert to fraction form
    149,661/320,076 = 320,076/x
  3. Step 3: Cross multiply
    149,661x = 320,076 × 320,076
  4. Step 4: Simplify right side
    149,661x = 102,448,645,776
  5. Step 5: Solve for x
    x = 102,448,645,776/149,661
  6. Step 6: Final answer
    x = 684,538.03

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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.