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Finding the Third Proportional to 428,628.38 and 916,305.75

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Solution

The third proportional to 428,628.38 and 916,305.75 is: 1,958,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,628.38 : 916,305.75 = 916,305.75 : x
  2. Step 2: Convert to fraction form
    428,628.38/916,305.75 = 916,305.75/x
  3. Step 3: Cross multiply
    428,628.38x = 916,305.75 × 916,305.75
  4. Step 4: Simplify right side
    428,628.38x = 839,616,227,483.06
  5. Step 5: Solve for x
    x = 839,616,227,483.06/428,628.38
  6. Step 6: Final answer
    x = 1,958,844.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.