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Finding the Third Proportional to 305,107.50 and 631,431

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Solution

The third proportional to 305,107.50 and 631,431 is: 1,306,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,107.50 : 631,431 = 631,431 : x
  2. Step 2: Convert to fraction form
    305,107.50/631,431 = 631,431/x
  3. Step 3: Cross multiply
    305,107.50x = 631,431 × 631,431
  4. Step 4: Simplify right side
    305,107.50x = 398,705,107,761
  5. Step 5: Solve for x
    x = 398,705,107,761/305,107.50
  6. Step 6: Final answer
    x = 1,306,769.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.