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Finding the Third Proportional to 812,965 and 1,207,654

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Solution

The third proportional to 812,965 and 1,207,654 is: 1,793,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,965 : 1,207,654 = 1,207,654 : x
  2. Step 2: Convert to fraction form
    812,965/1,207,654 = 1,207,654/x
  3. Step 3: Cross multiply
    812,965x = 1,207,654 × 1,207,654
  4. Step 4: Simplify right side
    812,965x = 1,458,428,183,716
  5. Step 5: Solve for x
    x = 1,458,428,183,716/812,965
  6. Step 6: Final answer
    x = 1,793,961.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.