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Finding the Third Proportional to 310,945.50 and 440,356.50

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Solution

The third proportional to 310,945.50 and 440,356.50 is: 623,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,945.50 : 440,356.50 = 440,356.50 : x
  2. Step 2: Convert to fraction form
    310,945.50/440,356.50 = 440,356.50/x
  3. Step 3: Cross multiply
    310,945.50x = 440,356.50 × 440,356.50
  4. Step 4: Simplify right side
    310,945.50x = 193,913,847,092.25
  5. Step 5: Solve for x
    x = 193,913,847,092.25/310,945.50
  6. Step 6: Final answer
    x = 623,626.48

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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.