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Finding the Third Proportional to 415,548 and 909,917

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Solution

The third proportional to 415,548 and 909,917 is: 1,992,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,548 : 909,917 = 909,917 : x
  2. Step 2: Convert to fraction form
    415,548/909,917 = 909,917/x
  3. Step 3: Cross multiply
    415,548x = 909,917 × 909,917
  4. Step 4: Simplify right side
    415,548x = 827,948,946,889
  5. Step 5: Solve for x
    x = 827,948,946,889/415,548
  6. Step 6: Final answer
    x = 1,992,426.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.