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Finding the Third Proportional to 171,618 and 265,731

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Solution

The third proportional to 171,618 and 265,731 is: 411,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,618 : 265,731 = 265,731 : x
  2. Step 2: Convert to fraction form
    171,618/265,731 = 265,731/x
  3. Step 3: Cross multiply
    171,618x = 265,731 × 265,731
  4. Step 4: Simplify right side
    171,618x = 70,612,964,361
  5. Step 5: Solve for x
    x = 70,612,964,361/171,618
  6. Step 6: Final answer
    x = 411,454.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.