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Finding the Third Proportional to 420,917 and 901,603

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Solution

The third proportional to 420,917 and 901,603 is: 1,931,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,917 : 901,603 = 901,603 : x
  2. Step 2: Convert to fraction form
    420,917/901,603 = 901,603/x
  3. Step 3: Cross multiply
    420,917x = 901,603 × 901,603
  4. Step 4: Simplify right side
    420,917x = 812,887,969,609
  5. Step 5: Solve for x
    x = 812,887,969,609/420,917
  6. Step 6: Final answer
    x = 1,931,231.03

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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.