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Finding the Third Proportional to 415,281 and 888,145

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Solution

The third proportional to 415,281 and 888,145 is: 1,899,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,281 : 888,145 = 888,145 : x
  2. Step 2: Convert to fraction form
    415,281/888,145 = 888,145/x
  3. Step 3: Cross multiply
    415,281x = 888,145 × 888,145
  4. Step 4: Simplify right side
    415,281x = 788,801,541,025
  5. Step 5: Solve for x
    x = 788,801,541,025/415,281
  6. Step 6: Final answer
    x = 1,899,440.48

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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.