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Finding the Third Proportional to 178,578 and 384,948

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Solution

The third proportional to 178,578 and 384,948 is: 829,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,578 : 384,948 = 384,948 : x
  2. Step 2: Convert to fraction form
    178,578/384,948 = 384,948/x
  3. Step 3: Cross multiply
    178,578x = 384,948 × 384,948
  4. Step 4: Simplify right side
    178,578x = 148,184,962,704
  5. Step 5: Solve for x
    x = 148,184,962,704/178,578
  6. Step 6: Final answer
    x = 829,805.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.