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Finding the Third Proportional to 415,142 and 907,194

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Solution

The third proportional to 415,142 and 907,194 is: 1,982,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,142 : 907,194 = 907,194 : x
  2. Step 2: Convert to fraction form
    415,142/907,194 = 907,194/x
  3. Step 3: Cross multiply
    415,142x = 907,194 × 907,194
  4. Step 4: Simplify right side
    415,142x = 823,000,953,636
  5. Step 5: Solve for x
    x = 823,000,953,636/415,142
  6. Step 6: Final answer
    x = 1,982,456.49

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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.