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Finding the Third Proportional to 149,778 and 318,028

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Solution

The third proportional to 149,778 and 318,028 is: 675,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,778 : 318,028 = 318,028 : x
  2. Step 2: Convert to fraction form
    149,778/318,028 = 318,028/x
  3. Step 3: Cross multiply
    149,778x = 318,028 × 318,028
  4. Step 4: Simplify right side
    149,778x = 101,141,808,784
  5. Step 5: Solve for x
    x = 101,141,808,784/149,778
  6. Step 6: Final answer
    x = 675,278.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.