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Finding the Third Proportional to 50,459 and 78,130

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Solution

The third proportional to 50,459 and 78,130 is: 120,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,459 : 78,130 = 78,130 : x
  2. Step 2: Convert to fraction form
    50,459/78,130 = 78,130/x
  3. Step 3: Cross multiply
    50,459x = 78,130 × 78,130
  4. Step 4: Simplify right side
    50,459x = 6,104,296,900
  5. Step 5: Solve for x
    x = 6,104,296,900/50,459
  6. Step 6: Final answer
    x = 120,975.38

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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.