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Finding the Third Proportional to 51,418.13 and 79,457.63

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Solution

The third proportional to 51,418.13 and 79,457.63 is: 122,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,418.13 : 79,457.63 = 79,457.63 : x
  2. Step 2: Convert to fraction form
    51,418.13/79,457.63 = 79,457.63/x
  3. Step 3: Cross multiply
    51,418.13x = 79,457.63 × 79,457.63
  4. Step 4: Simplify right side
    51,418.13x = 6,313,514,170.64
  5. Step 5: Solve for x
    x = 6,313,514,170.64/51,418.13
  6. Step 6: Final answer
    x = 122,787.72

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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.