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Finding the Third Proportional to 169,618 and 269,411

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Solution

The third proportional to 169,618 and 269,411 is: 427,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,618 : 269,411 = 269,411 : x
  2. Step 2: Convert to fraction form
    169,618/269,411 = 269,411/x
  3. Step 3: Cross multiply
    169,618x = 269,411 × 269,411
  4. Step 4: Simplify right side
    169,618x = 72,582,286,921
  5. Step 5: Solve for x
    x = 72,582,286,921/169,618
  6. Step 6: Final answer
    x = 427,916.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.