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Finding the Third Proportional to 344,618 and 520,203

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Solution

The third proportional to 344,618 and 520,203 is: 785,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,618 : 520,203 = 520,203 : x
  2. Step 2: Convert to fraction form
    344,618/520,203 = 520,203/x
  3. Step 3: Cross multiply
    344,618x = 520,203 × 520,203
  4. Step 4: Simplify right side
    344,618x = 270,611,161,209
  5. Step 5: Solve for x
    x = 270,611,161,209/344,618
  6. Step 6: Final answer
    x = 785,249.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.