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Finding the Third Proportional to 420,989 and 901,756

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Solution

The third proportional to 420,989 and 901,756 is: 1,931,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,989 : 901,756 = 901,756 : x
  2. Step 2: Convert to fraction form
    420,989/901,756 = 901,756/x
  3. Step 3: Cross multiply
    420,989x = 901,756 × 901,756
  4. Step 4: Simplify right side
    420,989x = 813,163,883,536
  5. Step 5: Solve for x
    x = 813,163,883,536/420,989
  6. Step 6: Final answer
    x = 1,931,556.13

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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.