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Finding the Third Proportional to 318,054 and 674,028

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Solution

The third proportional to 318,054 and 674,028 is: 1,428,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,054 : 674,028 = 674,028 : x
  2. Step 2: Convert to fraction form
    318,054/674,028 = 674,028/x
  3. Step 3: Cross multiply
    318,054x = 674,028 × 674,028
  4. Step 4: Simplify right side
    318,054x = 454,313,744,784
  5. Step 5: Solve for x
    x = 454,313,744,784/318,054
  6. Step 6: Final answer
    x = 1,428,417.01

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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.