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Finding the Third Proportional to 377,642 and 772,708

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Solution

The third proportional to 377,642 and 772,708 is: 1,581,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,642 : 772,708 = 772,708 : x
  2. Step 2: Convert to fraction form
    377,642/772,708 = 772,708/x
  3. Step 3: Cross multiply
    377,642x = 772,708 × 772,708
  4. Step 4: Simplify right side
    377,642x = 597,077,653,264
  5. Step 5: Solve for x
    x = 597,077,653,264/377,642
  6. Step 6: Final answer
    x = 1,581,067.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.