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Finding the Third Proportional to 73,618 and 158,987

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Solution

The third proportional to 73,618 and 158,987 is: 343,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,618 : 158,987 = 158,987 : x
  2. Step 2: Convert to fraction form
    73,618/158,987 = 158,987/x
  3. Step 3: Cross multiply
    73,618x = 158,987 × 158,987
  4. Step 4: Simplify right side
    73,618x = 25,276,866,169
  5. Step 5: Solve for x
    x = 25,276,866,169/73,618
  6. Step 6: Final answer
    x = 343,351.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.