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Finding the Third Proportional to 206,056 and 434,618

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Solution

The third proportional to 206,056 and 434,618 is: 916,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,056 : 434,618 = 434,618 : x
  2. Step 2: Convert to fraction form
    206,056/434,618 = 434,618/x
  3. Step 3: Cross multiply
    206,056x = 434,618 × 434,618
  4. Step 4: Simplify right side
    206,056x = 188,892,805,924
  5. Step 5: Solve for x
    x = 188,892,805,924/206,056
  6. Step 6: Final answer
    x = 916,706.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.