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Finding the Third Proportional to 271,905 and 413,618

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Solution

The third proportional to 271,905 and 413,618 is: 629,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,905 : 413,618 = 413,618 : x
  2. Step 2: Convert to fraction form
    271,905/413,618 = 413,618/x
  3. Step 3: Cross multiply
    271,905x = 413,618 × 413,618
  4. Step 4: Simplify right side
    271,905x = 171,079,849,924
  5. Step 5: Solve for x
    x = 171,079,849,924/271,905
  6. Step 6: Final answer
    x = 629,189.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.