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Finding the Third Proportional to 351,386 and 766,378

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Solution

The third proportional to 351,386 and 766,378 is: 1,671,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,386 : 766,378 = 766,378 : x
  2. Step 2: Convert to fraction form
    351,386/766,378 = 766,378/x
  3. Step 3: Cross multiply
    351,386x = 766,378 × 766,378
  4. Step 4: Simplify right side
    351,386x = 587,335,238,884
  5. Step 5: Solve for x
    x = 587,335,238,884/351,386
  6. Step 6: Final answer
    x = 1,671,481.62

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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.