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Finding the Third Proportional to 312,225 and 671,811

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Solution

The third proportional to 312,225 and 671,811 is: 1,445,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,225 : 671,811 = 671,811 : x
  2. Step 2: Convert to fraction form
    312,225/671,811 = 671,811/x
  3. Step 3: Cross multiply
    312,225x = 671,811 × 671,811
  4. Step 4: Simplify right side
    312,225x = 451,330,019,721
  5. Step 5: Solve for x
    x = 451,330,019,721/312,225
  6. Step 6: Final answer
    x = 1,445,528.13

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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.