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Finding the Third Proportional to 491,190 and 760,761

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Solution

The third proportional to 491,190 and 760,761 is: 1,178,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,190 : 760,761 = 760,761 : x
  2. Step 2: Convert to fraction form
    491,190/760,761 = 760,761/x
  3. Step 3: Cross multiply
    491,190x = 760,761 × 760,761
  4. Step 4: Simplify right side
    491,190x = 578,757,299,121
  5. Step 5: Solve for x
    x = 578,757,299,121/491,190
  6. Step 6: Final answer
    x = 1,178,275.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.