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Finding the Third Proportional to 136,672.31 and 213,915.94

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Solution

The third proportional to 136,672.31 and 213,915.94 is: 334,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,672.31 : 213,915.94 = 213,915.94 : x
  2. Step 2: Convert to fraction form
    136,672.31/213,915.94 = 213,915.94/x
  3. Step 3: Cross multiply
    136,672.31x = 213,915.94 × 213,915.94
  4. Step 4: Simplify right side
    136,672.31x = 45,760,028,316.50
  5. Step 5: Solve for x
    x = 45,760,028,316.50/136,672.31
  6. Step 6: Final answer
    x = 334,815.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.