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Finding the Third Proportional to 138,618 and 220,369

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Solution

The third proportional to 138,618 and 220,369 is: 350,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,618 : 220,369 = 220,369 : x
  2. Step 2: Convert to fraction form
    138,618/220,369 = 220,369/x
  3. Step 3: Cross multiply
    138,618x = 220,369 × 220,369
  4. Step 4: Simplify right side
    138,618x = 48,562,496,161
  5. Step 5: Solve for x
    x = 48,562,496,161/138,618
  6. Step 6: Final answer
    x = 350,333.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.