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Finding the Third Proportional to 430,960.50 and 666,891

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Solution

The third proportional to 430,960.50 and 666,891 is: 1,031,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,960.50 : 666,891 = 666,891 : x
  2. Step 2: Convert to fraction form
    430,960.50/666,891 = 666,891/x
  3. Step 3: Cross multiply
    430,960.50x = 666,891 × 666,891
  4. Step 4: Simplify right side
    430,960.50x = 444,743,605,881
  5. Step 5: Solve for x
    x = 444,743,605,881/430,960.50
  6. Step 6: Final answer
    x = 1,031,982.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.