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Finding the Third Proportional to 428,622 and 646,821

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Solution

The third proportional to 428,622 and 646,821 is: 976,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,622 : 646,821 = 646,821 : x
  2. Step 2: Convert to fraction form
    428,622/646,821 = 646,821/x
  3. Step 3: Cross multiply
    428,622x = 646,821 × 646,821
  4. Step 4: Simplify right side
    428,622x = 418,377,406,041
  5. Step 5: Solve for x
    x = 418,377,406,041/428,622
  6. Step 6: Final answer
    x = 976,098.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.