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Finding the Third Proportional to 312,283.50 and 671,928

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Solution

The third proportional to 312,283.50 and 671,928 is: 1,445,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,283.50 : 671,928 = 671,928 : x
  2. Step 2: Convert to fraction form
    312,283.50/671,928 = 671,928/x
  3. Step 3: Cross multiply
    312,283.50x = 671,928 × 671,928
  4. Step 4: Simplify right side
    312,283.50x = 451,487,237,184
  5. Step 5: Solve for x
    x = 451,487,237,184/312,283.50
  6. Step 6: Final answer
    x = 1,445,760.78

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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.