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Finding the Third Proportional to 51,681 and 79,230

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Solution

The third proportional to 51,681 and 79,230 is: 121,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,681 : 79,230 = 79,230 : x
  2. Step 2: Convert to fraction form
    51,681/79,230 = 79,230/x
  3. Step 3: Cross multiply
    51,681x = 79,230 × 79,230
  4. Step 4: Simplify right side
    51,681x = 6,277,392,900
  5. Step 5: Solve for x
    x = 6,277,392,900/51,681
  6. Step 6: Final answer
    x = 121,464.23

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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.