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Finding the Third Proportional to 178,148 and 266,358

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Solution

The third proportional to 178,148 and 266,358 is: 398,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,148 : 266,358 = 266,358 : x
  2. Step 2: Convert to fraction form
    178,148/266,358 = 266,358/x
  3. Step 3: Cross multiply
    178,148x = 266,358 × 266,358
  4. Step 4: Simplify right side
    178,148x = 70,946,584,164
  5. Step 5: Solve for x
    x = 70,946,584,164/178,148
  6. Step 6: Final answer
    x = 398,245.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.