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Finding the Third Proportional to 145,212.75 and 312,672.66

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Solution

The third proportional to 145,212.75 and 312,672.66 is: 673,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,212.75 : 312,672.66 = 312,672.66 : x
  2. Step 2: Convert to fraction form
    145,212.75/312,672.66 = 312,672.66/x
  3. Step 3: Cross multiply
    145,212.75x = 312,672.66 × 312,672.66
  4. Step 4: Simplify right side
    145,212.75x = 97,764,189,966.43
  5. Step 5: Solve for x
    x = 97,764,189,966.43/145,212.75
  6. Step 6: Final answer
    x = 673,247.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.