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Finding the Third Proportional to 314,402 and 681,974

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Solution

The third proportional to 314,402 and 681,974 is: 1,479,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,402 : 681,974 = 681,974 : x
  2. Step 2: Convert to fraction form
    314,402/681,974 = 681,974/x
  3. Step 3: Cross multiply
    314,402x = 681,974 × 681,974
  4. Step 4: Simplify right side
    314,402x = 465,088,536,676
  5. Step 5: Solve for x
    x = 465,088,536,676/314,402
  6. Step 6: Final answer
    x = 1,479,279.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.