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Finding the Third Proportional to 491,124 and 693,219

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Solution

The third proportional to 491,124 and 693,219 is: 978,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,124 : 693,219 = 693,219 : x
  2. Step 2: Convert to fraction form
    491,124/693,219 = 693,219/x
  3. Step 3: Cross multiply
    491,124x = 693,219 × 693,219
  4. Step 4: Simplify right side
    491,124x = 480,552,581,961
  5. Step 5: Solve for x
    x = 480,552,581,961/491,124
  6. Step 6: Final answer
    x = 978,475.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.