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Finding the Third Proportional to 78,600 and 111,111

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Solution

The third proportional to 78,600 and 111,111 is: 157,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,600 : 111,111 = 111,111 : x
  2. Step 2: Convert to fraction form
    78,600/111,111 = 111,111/x
  3. Step 3: Cross multiply
    78,600x = 111,111 × 111,111
  4. Step 4: Simplify right side
    78,600x = 12,345,654,321
  5. Step 5: Solve for x
    x = 12,345,654,321/78,600
  6. Step 6: Final answer
    x = 157,069.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.