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Finding the Third Proportional to 435,906 and 666,531

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Solution

The third proportional to 435,906 and 666,531 is: 1,019,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,906 : 666,531 = 666,531 : x
  2. Step 2: Convert to fraction form
    435,906/666,531 = 666,531/x
  3. Step 3: Cross multiply
    435,906x = 666,531 × 666,531
  4. Step 4: Simplify right side
    435,906x = 444,263,573,961
  5. Step 5: Solve for x
    x = 444,263,573,961/435,906
  6. Step 6: Final answer
    x = 1,019,172.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.