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Finding the Third Proportional to 178,356 and 269,046

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Solution

The third proportional to 178,356 and 269,046 is: 405,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,356 : 269,046 = 269,046 : x
  2. Step 2: Convert to fraction form
    178,356/269,046 = 269,046/x
  3. Step 3: Cross multiply
    178,356x = 269,046 × 269,046
  4. Step 4: Simplify right side
    178,356x = 72,385,750,116
  5. Step 5: Solve for x
    x = 72,385,750,116/178,356
  6. Step 6: Final answer
    x = 405,849.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.