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Finding the Third Proportional to 415,302 and 909,228

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Solution

The third proportional to 415,302 and 909,228 is: 1,990,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,302 : 909,228 = 909,228 : x
  2. Step 2: Convert to fraction form
    415,302/909,228 = 909,228/x
  3. Step 3: Cross multiply
    415,302x = 909,228 × 909,228
  4. Step 4: Simplify right side
    415,302x = 826,695,555,984
  5. Step 5: Solve for x
    x = 826,695,555,984/415,302
  6. Step 6: Final answer
    x = 1,990,588.91

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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.