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Finding the Third Proportional to 435,928 and 666,564

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Solution

The third proportional to 435,928 and 666,564 is: 1,019,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,928 : 666,564 = 666,564 : x
  2. Step 2: Convert to fraction form
    435,928/666,564 = 666,564/x
  3. Step 3: Cross multiply
    435,928x = 666,564 × 666,564
  4. Step 4: Simplify right side
    435,928x = 444,307,566,096
  5. Step 5: Solve for x
    x = 444,307,566,096/435,928
  6. Step 6: Final answer
    x = 1,019,222.36

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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.