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Finding the Third Proportional to 305,434.50 and 631,821

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Solution

The third proportional to 305,434.50 and 631,821 is: 1,306,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,434.50 : 631,821 = 631,821 : x
  2. Step 2: Convert to fraction form
    305,434.50/631,821 = 631,821/x
  3. Step 3: Cross multiply
    305,434.50x = 631,821 × 631,821
  4. Step 4: Simplify right side
    305,434.50x = 399,197,776,041
  5. Step 5: Solve for x
    x = 399,197,776,041/305,434.50
  6. Step 6: Final answer
    x = 1,306,983.25

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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.