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Finding the Third Proportional to 377,005 and 797,642

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Solution

The third proportional to 377,005 and 797,642 is: 1,687,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,005 : 797,642 = 797,642 : x
  2. Step 2: Convert to fraction form
    377,005/797,642 = 797,642/x
  3. Step 3: Cross multiply
    377,005x = 797,642 × 797,642
  4. Step 4: Simplify right side
    377,005x = 636,232,760,164
  5. Step 5: Solve for x
    x = 636,232,760,164/377,005
  6. Step 6: Final answer
    x = 1,687,597.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.