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Finding the Third Proportional to 79,316 and 115,990

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Solution

The third proportional to 79,316 and 115,990 is: 169,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,316 : 115,990 = 115,990 : x
  2. Step 2: Convert to fraction form
    79,316/115,990 = 115,990/x
  3. Step 3: Cross multiply
    79,316x = 115,990 × 115,990
  4. Step 4: Simplify right side
    79,316x = 13,453,680,100
  5. Step 5: Solve for x
    x = 13,453,680,100/79,316
  6. Step 6: Final answer
    x = 169,621.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.