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Finding the Third Proportional to 210,618 and 454,449

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Solution

The third proportional to 210,618 and 454,449 is: 980,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,618 : 454,449 = 454,449 : x
  2. Step 2: Convert to fraction form
    210,618/454,449 = 454,449/x
  3. Step 3: Cross multiply
    210,618x = 454,449 × 454,449
  4. Step 4: Simplify right side
    210,618x = 206,523,893,601
  5. Step 5: Solve for x
    x = 206,523,893,601/210,618
  6. Step 6: Final answer
    x = 980,561.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.