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Finding the Third Proportional to 135,189 and 312,953.63

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Solution

The third proportional to 135,189 and 312,953.63 is: 724,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,189 : 312,953.63 = 312,953.63 : x
  2. Step 2: Convert to fraction form
    135,189/312,953.63 = 312,953.63/x
  3. Step 3: Cross multiply
    135,189x = 312,953.63 × 312,953.63
  4. Step 4: Simplify right side
    135,189x = 97,939,971,400.64
  5. Step 5: Solve for x
    x = 97,939,971,400.64/135,189
  6. Step 6: Final answer
    x = 724,467.02

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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.