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Finding the Third Proportional to 310,963.50 and 440,383.50

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Solution

The third proportional to 310,963.50 and 440,383.50 is: 623,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,963.50 : 440,383.50 = 440,383.50 : x
  2. Step 2: Convert to fraction form
    310,963.50/440,383.50 = 440,383.50/x
  3. Step 3: Cross multiply
    310,963.50x = 440,383.50 × 440,383.50
  4. Step 4: Simplify right side
    310,963.50x = 193,937,627,072.25
  5. Step 5: Solve for x
    x = 193,937,627,072.25/310,963.50
  6. Step 6: Final answer
    x = 623,666.85

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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.