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Finding the Third Proportional to 51,724 and 79,090

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Solution

The third proportional to 51,724 and 79,090 is: 120,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,724 : 79,090 = 79,090 : x
  2. Step 2: Convert to fraction form
    51,724/79,090 = 79,090/x
  3. Step 3: Cross multiply
    51,724x = 79,090 × 79,090
  4. Step 4: Simplify right side
    51,724x = 6,255,228,100
  5. Step 5: Solve for x
    x = 6,255,228,100/51,724
  6. Step 6: Final answer
    x = 120,934.73

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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.