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Finding the Third Proportional to 312,417 and 681,372

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Solution

The third proportional to 312,417 and 681,372 is: 1,486,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,417 : 681,372 = 681,372 : x
  2. Step 2: Convert to fraction form
    312,417/681,372 = 681,372/x
  3. Step 3: Cross multiply
    312,417x = 681,372 × 681,372
  4. Step 4: Simplify right side
    312,417x = 464,267,802,384
  5. Step 5: Solve for x
    x = 464,267,802,384/312,417
  6. Step 6: Final answer
    x = 1,486,051.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.