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Finding the Third Proportional to 178,133 and 266,308

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Solution

The third proportional to 178,133 and 266,308 is: 398,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,133 : 266,308 = 266,308 : x
  2. Step 2: Convert to fraction form
    178,133/266,308 = 266,308/x
  3. Step 3: Cross multiply
    178,133x = 266,308 × 266,308
  4. Step 4: Simplify right side
    178,133x = 70,919,950,864
  5. Step 5: Solve for x
    x = 70,919,950,864/178,133
  6. Step 6: Final answer
    x = 398,129.21

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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.