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Finding the Third Proportional to 178,276 and 262,086

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Solution

The third proportional to 178,276 and 262,086 is: 385,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,276 : 262,086 = 262,086 : x
  2. Step 2: Convert to fraction form
    178,276/262,086 = 262,086/x
  3. Step 3: Cross multiply
    178,276x = 262,086 × 262,086
  4. Step 4: Simplify right side
    178,276x = 68,689,071,396
  5. Step 5: Solve for x
    x = 68,689,071,396/178,276
  6. Step 6: Final answer
    x = 385,296.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.