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Finding the Third Proportional to 178,441 and 262,729

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Solution

The third proportional to 178,441 and 262,729 is: 386,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,441 : 262,729 = 262,729 : x
  2. Step 2: Convert to fraction form
    178,441/262,729 = 262,729/x
  3. Step 3: Cross multiply
    178,441x = 262,729 × 262,729
  4. Step 4: Simplify right side
    178,441x = 69,026,527,441
  5. Step 5: Solve for x
    x = 69,026,527,441/178,441
  6. Step 6: Final answer
    x = 386,831.10

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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.