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Finding the Third Proportional to 415,910 and 851,492

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Solution

The third proportional to 415,910 and 851,492 is: 1,743,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,910 : 851,492 = 851,492 : x
  2. Step 2: Convert to fraction form
    415,910/851,492 = 851,492/x
  3. Step 3: Cross multiply
    415,910x = 851,492 × 851,492
  4. Step 4: Simplify right side
    415,910x = 725,038,626,064
  5. Step 5: Solve for x
    x = 725,038,626,064/415,910
  6. Step 6: Final answer
    x = 1,743,258.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.