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Finding the Third Proportional to 129,274 and 269,618

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Solution

The third proportional to 129,274 and 269,618 is: 562,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,274 : 269,618 = 269,618 : x
  2. Step 2: Convert to fraction form
    129,274/269,618 = 269,618/x
  3. Step 3: Cross multiply
    129,274x = 269,618 × 269,618
  4. Step 4: Simplify right side
    129,274x = 72,693,865,924
  5. Step 5: Solve for x
    x = 72,693,865,924/129,274
  6. Step 6: Final answer
    x = 562,323.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.