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Finding the Third Proportional to 172,800 and 261,618

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Solution

The third proportional to 172,800 and 261,618 is: 396,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,800 : 261,618 = 261,618 : x
  2. Step 2: Convert to fraction form
    172,800/261,618 = 261,618/x
  3. Step 3: Cross multiply
    172,800x = 261,618 × 261,618
  4. Step 4: Simplify right side
    172,800x = 68,443,977,924
  5. Step 5: Solve for x
    x = 68,443,977,924/172,800
  6. Step 6: Final answer
    x = 396,087.84

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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.