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Finding the Third Proportional to 428,629 and 646,832

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Solution

The third proportional to 428,629 and 646,832 is: 976,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,629 : 646,832 = 646,832 : x
  2. Step 2: Convert to fraction form
    428,629/646,832 = 646,832/x
  3. Step 3: Cross multiply
    428,629x = 646,832 × 646,832
  4. Step 4: Simplify right side
    428,629x = 418,391,636,224
  5. Step 5: Solve for x
    x = 418,391,636,224/428,629
  6. Step 6: Final answer
    x = 976,116.03

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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.