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Finding the Third Proportional to 135,190 and 312,956.13

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Solution

The third proportional to 135,190 and 312,956.13 is: 724,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,190 : 312,956.13 = 312,956.13 : x
  2. Step 2: Convert to fraction form
    135,190/312,956.13 = 312,956.13/x
  3. Step 3: Cross multiply
    135,190x = 312,956.13 × 312,956.13
  4. Step 4: Simplify right side
    135,190x = 97,941,536,175.02
  5. Step 5: Solve for x
    x = 97,941,536,175.02/135,190
  6. Step 6: Final answer
    x = 724,473.23

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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.