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Finding the Third Proportional to 209,184.75 and 315,741.38

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Solution

The third proportional to 209,184.75 and 315,741.38 is: 476,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,184.75 : 315,741.38 = 315,741.38 : x
  2. Step 2: Convert to fraction form
    209,184.75/315,741.38 = 315,741.38/x
  3. Step 3: Cross multiply
    209,184.75x = 315,741.38 × 315,741.38
  4. Step 4: Simplify right side
    209,184.75x = 99,692,615,886.89
  5. Step 5: Solve for x
    x = 99,692,615,886.89/209,184.75
  6. Step 6: Final answer
    x = 476,576.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.