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Finding the Third Proportional to 78,338 and 119,454

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Solution

The third proportional to 78,338 and 119,454 is: 182,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,338 : 119,454 = 119,454 : x
  2. Step 2: Convert to fraction form
    78,338/119,454 = 119,454/x
  3. Step 3: Cross multiply
    78,338x = 119,454 × 119,454
  4. Step 4: Simplify right side
    78,338x = 14,269,258,116
  5. Step 5: Solve for x
    x = 14,269,258,116/78,338
  6. Step 6: Final answer
    x = 182,149.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.