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Finding the Third Proportional to 178,243 and 266,462

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Solution

The third proportional to 178,243 and 266,462 is: 398,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,243 : 266,462 = 266,462 : x
  2. Step 2: Convert to fraction form
    178,243/266,462 = 266,462/x
  3. Step 3: Cross multiply
    178,243x = 266,462 × 266,462
  4. Step 4: Simplify right side
    178,243x = 71,001,997,444
  5. Step 5: Solve for x
    x = 71,001,997,444/178,243
  6. Step 6: Final answer
    x = 398,343.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.