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Finding the Third Proportional to 135,196 and 312,969

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Solution

The third proportional to 135,196 and 312,969 is: 724,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,196 : 312,969 = 312,969 : x
  2. Step 2: Convert to fraction form
    135,196/312,969 = 312,969/x
  3. Step 3: Cross multiply
    135,196x = 312,969 × 312,969
  4. Step 4: Simplify right side
    135,196x = 97,949,594,961
  5. Step 5: Solve for x
    x = 97,949,594,961/135,196
  6. Step 6: Final answer
    x = 724,500.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.