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Finding the Third Proportional to 420,400 and 910,786

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Solution

The third proportional to 420,400 and 910,786 is: 1,973,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,400 : 910,786 = 910,786 : x
  2. Step 2: Convert to fraction form
    420,400/910,786 = 910,786/x
  3. Step 3: Cross multiply
    420,400x = 910,786 × 910,786
  4. Step 4: Simplify right side
    420,400x = 829,531,137,796
  5. Step 5: Solve for x
    x = 829,531,137,796/420,400
  6. Step 6: Final answer
    x = 1,973,194.90

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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.