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Finding the Third Proportional to 421,309 and 901,667

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Solution

The third proportional to 421,309 and 901,667 is: 1,929,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,309 : 901,667 = 901,667 : x
  2. Step 2: Convert to fraction form
    421,309/901,667 = 901,667/x
  3. Step 3: Cross multiply
    421,309x = 901,667 × 901,667
  4. Step 4: Simplify right side
    421,309x = 813,003,378,889
  5. Step 5: Solve for x
    x = 813,003,378,889/421,309
  6. Step 6: Final answer
    x = 1,929,708.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.