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Finding the Third Proportional to 491,120 and 693,213

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Solution

The third proportional to 491,120 and 693,213 is: 978,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,120 : 693,213 = 693,213 : x
  2. Step 2: Convert to fraction form
    491,120/693,213 = 693,213/x
  3. Step 3: Cross multiply
    491,120x = 693,213 × 693,213
  4. Step 4: Simplify right side
    491,120x = 480,544,263,369
  5. Step 5: Solve for x
    x = 480,544,263,369/491,120
  6. Step 6: Final answer
    x = 978,466.08

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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.