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Finding the Third Proportional to 420,667 and 912,311

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Solution

The third proportional to 420,667 and 912,311 is: 1,978,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,667 : 912,311 = 912,311 : x
  2. Step 2: Convert to fraction form
    420,667/912,311 = 912,311/x
  3. Step 3: Cross multiply
    420,667x = 912,311 × 912,311
  4. Step 4: Simplify right side
    420,667x = 832,311,360,721
  5. Step 5: Solve for x
    x = 832,311,360,721/420,667
  6. Step 6: Final answer
    x = 1,978,551.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.