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Finding the Third Proportional to 50,490 and 78,169

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Solution

The third proportional to 50,490 and 78,169 is: 121,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490 : 78,169 = 78,169 : x
  2. Step 2: Convert to fraction form
    50,490/78,169 = 78,169/x
  3. Step 3: Cross multiply
    50,490x = 78,169 × 78,169
  4. Step 4: Simplify right side
    50,490x = 6,110,392,561
  5. Step 5: Solve for x
    x = 6,110,392,561/50,490
  6. Step 6: Final answer
    x = 121,021.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.