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Finding the Third Proportional to 76,810 and 112,704

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Solution

The third proportional to 76,810 and 112,704 is: 165,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810 : 112,704 = 112,704 : x
  2. Step 2: Convert to fraction form
    76,810/112,704 = 112,704/x
  3. Step 3: Cross multiply
    76,810x = 112,704 × 112,704
  4. Step 4: Simplify right side
    76,810x = 12,702,191,616
  5. Step 5: Solve for x
    x = 12,702,191,616/76,810
  6. Step 6: Final answer
    x = 165,371.59

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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.