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Finding the Third Proportional to 178,477 and 262,778

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Solution

The third proportional to 178,477 and 262,778 is: 386,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,477 : 262,778 = 262,778 : x
  2. Step 2: Convert to fraction form
    178,477/262,778 = 262,778/x
  3. Step 3: Cross multiply
    178,477x = 262,778 × 262,778
  4. Step 4: Simplify right side
    178,477x = 69,052,277,284
  5. Step 5: Solve for x
    x = 69,052,277,284/178,477
  6. Step 6: Final answer
    x = 386,897.34

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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.