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Finding the Third Proportional to 76,302.98 and 112,249.34

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Solution

The third proportional to 76,302.98 and 112,249.34 is: 165,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302.98 : 112,249.34 = 112,249.34 : x
  2. Step 2: Convert to fraction form
    76,302.98/112,249.34 = 112,249.34/x
  3. Step 3: Cross multiply
    76,302.98x = 112,249.34 × 112,249.34
  4. Step 4: Simplify right side
    76,302.98x = 12,599,913,418.41
  5. Step 5: Solve for x
    x = 12,599,913,418.41/76,302.98
  6. Step 6: Final answer
    x = 165,130.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.