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Finding the Third Proportional to 351,908 and 829,910

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Solution

The third proportional to 351,908 and 829,910 is: 1,957,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,908 : 829,910 = 829,910 : x
  2. Step 2: Convert to fraction form
    351,908/829,910 = 829,910/x
  3. Step 3: Cross multiply
    351,908x = 829,910 × 829,910
  4. Step 4: Simplify right side
    351,908x = 688,750,608,100
  5. Step 5: Solve for x
    x = 688,750,608,100/351,908
  6. Step 6: Final answer
    x = 1,957,189.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.