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Finding the Third Proportional to 74,662 and 115,618

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Solution

The third proportional to 74,662 and 115,618 is: 179,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,662 : 115,618 = 115,618 : x
  2. Step 2: Convert to fraction form
    74,662/115,618 = 115,618/x
  3. Step 3: Cross multiply
    74,662x = 115,618 × 115,618
  4. Step 4: Simplify right side
    74,662x = 13,367,521,924
  5. Step 5: Solve for x
    x = 13,367,521,924/74,662
  6. Step 6: Final answer
    x = 179,040.50

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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.