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Finding the Third Proportional to 386,416 and 829,960

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Solution

The third proportional to 386,416 and 829,960 is: 1,782,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,416 : 829,960 = 829,960 : x
  2. Step 2: Convert to fraction form
    386,416/829,960 = 829,960/x
  3. Step 3: Cross multiply
    386,416x = 829,960 × 829,960
  4. Step 4: Simplify right side
    386,416x = 688,833,601,600
  5. Step 5: Solve for x
    x = 688,833,601,600/386,416
  6. Step 6: Final answer
    x = 1,782,621.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.