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Finding the Third Proportional to 149,850 and 318,768

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Solution

The third proportional to 149,850 and 318,768 is: 678,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,850 : 318,768 = 318,768 : x
  2. Step 2: Convert to fraction form
    149,850/318,768 = 318,768/x
  3. Step 3: Cross multiply
    149,850x = 318,768 × 318,768
  4. Step 4: Simplify right side
    149,850x = 101,613,037,824
  5. Step 5: Solve for x
    x = 101,613,037,824/149,850
  6. Step 6: Final answer
    x = 678,098.35

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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.