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Finding the Third Proportional to 50,972 and 77,920

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Solution

The third proportional to 50,972 and 77,920 is: 119,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972 : 77,920 = 77,920 : x
  2. Step 2: Convert to fraction form
    50,972/77,920 = 77,920/x
  3. Step 3: Cross multiply
    50,972x = 77,920 × 77,920
  4. Step 4: Simplify right side
    50,972x = 6,071,526,400
  5. Step 5: Solve for x
    x = 6,071,526,400/50,972
  6. Step 6: Final answer
    x = 119,114.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.