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Finding the Third Proportional to 149,400 and 318,768

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Solution

The third proportional to 149,400 and 318,768 is: 680,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,400 : 318,768 = 318,768 : x
  2. Step 2: Convert to fraction form
    149,400/318,768 = 318,768/x
  3. Step 3: Cross multiply
    149,400x = 318,768 × 318,768
  4. Step 4: Simplify right side
    149,400x = 101,613,037,824
  5. Step 5: Solve for x
    x = 101,613,037,824/149,400
  6. Step 6: Final answer
    x = 680,140.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.