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Finding the Third Proportional to 94,610 and 126,788

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Solution

The third proportional to 94,610 and 126,788 is: 169,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,610 : 126,788 = 126,788 : x
  2. Step 2: Convert to fraction form
    94,610/126,788 = 126,788/x
  3. Step 3: Cross multiply
    94,610x = 126,788 × 126,788
  4. Step 4: Simplify right side
    94,610x = 16,075,196,944
  5. Step 5: Solve for x
    x = 16,075,196,944/94,610
  6. Step 6: Final answer
    x = 169,910.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.