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Finding the Third Proportional to 310,354.75 and 666,640

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Solution

The third proportional to 310,354.75 and 666,640 is: 1,431,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,354.75 : 666,640 = 666,640 : x
  2. Step 2: Convert to fraction form
    310,354.75/666,640 = 666,640/x
  3. Step 3: Cross multiply
    310,354.75x = 666,640 × 666,640
  4. Step 4: Simplify right side
    310,354.75x = 444,408,889,600
  5. Step 5: Solve for x
    x = 444,408,889,600/310,354.75
  6. Step 6: Final answer
    x = 1,431,938.42

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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.