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Finding the Third Proportional to 415,842.75 and 906,318

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Solution

The third proportional to 415,842.75 and 906,318 is: 1,975,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,842.75 : 906,318 = 906,318 : x
  2. Step 2: Convert to fraction form
    415,842.75/906,318 = 906,318/x
  3. Step 3: Cross multiply
    415,842.75x = 906,318 × 906,318
  4. Step 4: Simplify right side
    415,842.75x = 821,412,317,124
  5. Step 5: Solve for x
    x = 821,412,317,124/415,842.75
  6. Step 6: Final answer
    x = 1,975,295.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.