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Finding the Third Proportional to 145,214 and 312,675

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Solution

The third proportional to 145,214 and 312,675 is: 673,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,214 : 312,675 = 312,675 : x
  2. Step 2: Convert to fraction form
    145,214/312,675 = 312,675/x
  3. Step 3: Cross multiply
    145,214x = 312,675 × 312,675
  4. Step 4: Simplify right side
    145,214x = 97,765,655,625
  5. Step 5: Solve for x
    x = 97,765,655,625/145,214
  6. Step 6: Final answer
    x = 673,252.27

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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.