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Finding the Third Proportional to 312,413 and 681,364

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Solution

The third proportional to 312,413 and 681,364 is: 1,486,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,413 : 681,364 = 681,364 : x
  2. Step 2: Convert to fraction form
    312,413/681,364 = 681,364/x
  3. Step 3: Cross multiply
    312,413x = 681,364 × 681,364
  4. Step 4: Simplify right side
    312,413x = 464,256,900,496
  5. Step 5: Solve for x
    x = 464,256,900,496/312,413
  6. Step 6: Final answer
    x = 1,486,035.79

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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.