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Finding the Third Proportional to 336,621 and 491,910

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Solution

The third proportional to 336,621 and 491,910 is: 718,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,621 : 491,910 = 491,910 : x
  2. Step 2: Convert to fraction form
    336,621/491,910 = 491,910/x
  3. Step 3: Cross multiply
    336,621x = 491,910 × 491,910
  4. Step 4: Simplify right side
    336,621x = 241,975,448,100
  5. Step 5: Solve for x
    x = 241,975,448,100/336,621
  6. Step 6: Final answer
    x = 718,836.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.