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Finding the Third Proportional to 85,828 and 177,618

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Solution

The third proportional to 85,828 and 177,618 is: 367,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,828 : 177,618 = 177,618 : x
  2. Step 2: Convert to fraction form
    85,828/177,618 = 177,618/x
  3. Step 3: Cross multiply
    85,828x = 177,618 × 177,618
  4. Step 4: Simplify right side
    85,828x = 31,548,153,924
  5. Step 5: Solve for x
    x = 31,548,153,924/85,828
  6. Step 6: Final answer
    x = 367,574.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.