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Finding the Third Proportional to 178,439 and 262,726

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Solution

The third proportional to 178,439 and 262,726 is: 386,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,439 : 262,726 = 262,726 : x
  2. Step 2: Convert to fraction form
    178,439/262,726 = 262,726/x
  3. Step 3: Cross multiply
    178,439x = 262,726 × 262,726
  4. Step 4: Simplify right side
    178,439x = 69,024,951,076
  5. Step 5: Solve for x
    x = 69,024,951,076/178,439
  6. Step 6: Final answer
    x = 386,826.60

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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.