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Finding the Third Proportional to 313,788 and 681,972

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Solution

The third proportional to 313,788 and 681,972 is: 1,482,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,788 : 681,972 = 681,972 : x
  2. Step 2: Convert to fraction form
    313,788/681,972 = 681,972/x
  3. Step 3: Cross multiply
    313,788x = 681,972 × 681,972
  4. Step 4: Simplify right side
    313,788x = 465,085,808,784
  5. Step 5: Solve for x
    x = 465,085,808,784/313,788
  6. Step 6: Final answer
    x = 1,482,165.69

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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.