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Finding the Third Proportional to 376,926 and 812,900

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Solution

The third proportional to 376,926 and 812,900 is: 1,753,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,926 : 812,900 = 812,900 : x
  2. Step 2: Convert to fraction form
    376,926/812,900 = 812,900/x
  3. Step 3: Cross multiply
    376,926x = 812,900 × 812,900
  4. Step 4: Simplify right side
    376,926x = 660,806,410,000
  5. Step 5: Solve for x
    x = 660,806,410,000/376,926
  6. Step 6: Final answer
    x = 1,753,146.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.