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Finding the Third Proportional to 76,709 and 122,111

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Solution

The third proportional to 76,709 and 122,111 is: 194,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,709 : 122,111 = 122,111 : x
  2. Step 2: Convert to fraction form
    76,709/122,111 = 122,111/x
  3. Step 3: Cross multiply
    76,709x = 122,111 × 122,111
  4. Step 4: Simplify right side
    76,709x = 14,911,096,321
  5. Step 5: Solve for x
    x = 14,911,096,321/76,709
  6. Step 6: Final answer
    x = 194,385.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.