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Finding the Third Proportional to 121,736 and 265,618

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Solution

The third proportional to 121,736 and 265,618 is: 579,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,736 : 265,618 = 265,618 : x
  2. Step 2: Convert to fraction form
    121,736/265,618 = 265,618/x
  3. Step 3: Cross multiply
    121,736x = 265,618 × 265,618
  4. Step 4: Simplify right side
    121,736x = 70,552,921,924
  5. Step 5: Solve for x
    x = 70,552,921,924/121,736
  6. Step 6: Final answer
    x = 579,556.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.