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Finding the Third Proportional to 336,618 and 491,908

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Solution

The third proportional to 336,618 and 491,908 is: 718,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,618 : 491,908 = 491,908 : x
  2. Step 2: Convert to fraction form
    336,618/491,908 = 491,908/x
  3. Step 3: Cross multiply
    336,618x = 491,908 × 491,908
  4. Step 4: Simplify right side
    336,618x = 241,973,480,464
  5. Step 5: Solve for x
    x = 241,973,480,464/336,618
  6. Step 6: Final answer
    x = 718,837.02

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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.