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Finding the Third Proportional to 491,602 and 741,915

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Solution

The third proportional to 491,602 and 741,915 is: 1,119,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,602 : 741,915 = 741,915 : x
  2. Step 2: Convert to fraction form
    491,602/741,915 = 741,915/x
  3. Step 3: Cross multiply
    491,602x = 741,915 × 741,915
  4. Step 4: Simplify right side
    491,602x = 550,437,867,225
  5. Step 5: Solve for x
    x = 550,437,867,225/491,602
  6. Step 6: Final answer
    x = 1,119,681.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.