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Finding the Third Proportional to 138,618 and 220,365

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Solution

The third proportional to 138,618 and 220,365 is: 350,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,618 : 220,365 = 220,365 : x
  2. Step 2: Convert to fraction form
    138,618/220,365 = 220,365/x
  3. Step 3: Cross multiply
    138,618x = 220,365 × 220,365
  4. Step 4: Simplify right side
    138,618x = 48,560,733,225
  5. Step 5: Solve for x
    x = 48,560,733,225/138,618
  6. Step 6: Final answer
    x = 350,320.54

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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.