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Finding the Third Proportional to 310,019.06 and 438,793.03

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Solution

The third proportional to 310,019.06 and 438,793.03 is: 621,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,019.06 : 438,793.03 = 438,793.03 : x
  2. Step 2: Convert to fraction form
    310,019.06/438,793.03 = 438,793.03/x
  3. Step 3: Cross multiply
    310,019.06x = 438,793.03 × 438,793.03
  4. Step 4: Simplify right side
    310,019.06x = 192,539,324,273.56
  5. Step 5: Solve for x
    x = 192,539,324,273.56/310,019.06
  6. Step 6: Final answer
    x = 621,056.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.