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Finding the Third Proportional to 420,399 and 910,782

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Solution

The third proportional to 420,399 and 910,782 is: 1,973,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,399 : 910,782 = 910,782 : x
  2. Step 2: Convert to fraction form
    420,399/910,782 = 910,782/x
  3. Step 3: Cross multiply
    420,399x = 910,782 × 910,782
  4. Step 4: Simplify right side
    420,399x = 829,523,851,524
  5. Step 5: Solve for x
    x = 829,523,851,524/420,399
  6. Step 6: Final answer
    x = 1,973,182.27

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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.