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Finding the Third Proportional to 193,890 and 291,040.50

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Solution

The third proportional to 193,890 and 291,040.50 is: 436,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,890 : 291,040.50 = 291,040.50 : x
  2. Step 2: Convert to fraction form
    193,890/291,040.50 = 291,040.50/x
  3. Step 3: Cross multiply
    193,890x = 291,040.50 × 291,040.50
  4. Step 4: Simplify right side
    193,890x = 84,704,572,640.25
  5. Step 5: Solve for x
    x = 84,704,572,640.25/193,890
  6. Step 6: Final answer
    x = 436,869.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.