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Finding the Third Proportional to 149,742 and 321,516

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Solution

The third proportional to 149,742 and 321,516 is: 690,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,742 : 321,516 = 321,516 : x
  2. Step 2: Convert to fraction form
    149,742/321,516 = 321,516/x
  3. Step 3: Cross multiply
    149,742x = 321,516 × 321,516
  4. Step 4: Simplify right side
    149,742x = 103,372,538,256
  5. Step 5: Solve for x
    x = 103,372,538,256/149,742
  6. Step 6: Final answer
    x = 690,337.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.