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Finding the Third Proportional to 47,358 and 78,919

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Solution

The third proportional to 47,358 and 78,919 is: 131,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358 : 78,919 = 78,919 : x
  2. Step 2: Convert to fraction form
    47,358/78,919 = 78,919/x
  3. Step 3: Cross multiply
    47,358x = 78,919 × 78,919
  4. Step 4: Simplify right side
    47,358x = 6,228,208,561
  5. Step 5: Solve for x
    x = 6,228,208,561/47,358
  6. Step 6: Final answer
    x = 131,513.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.