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Finding the Third Proportional to 145,181 and 312,612

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Solution

The third proportional to 145,181 and 312,612 is: 673,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,181 : 312,612 = 312,612 : x
  2. Step 2: Convert to fraction form
    145,181/312,612 = 312,612/x
  3. Step 3: Cross multiply
    145,181x = 312,612 × 312,612
  4. Step 4: Simplify right side
    145,181x = 97,726,262,544
  5. Step 5: Solve for x
    x = 97,726,262,544/145,181
  6. Step 6: Final answer
    x = 673,133.97

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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.