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Finding the Third Proportional to 386,408 and 829,944

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Solution

The third proportional to 386,408 and 829,944 is: 1,782,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,408 : 829,944 = 829,944 : x
  2. Step 2: Convert to fraction form
    386,408/829,944 = 829,944/x
  3. Step 3: Cross multiply
    386,408x = 829,944 × 829,944
  4. Step 4: Simplify right side
    386,408x = 688,807,043,136
  5. Step 5: Solve for x
    x = 688,807,043,136/386,408
  6. Step 6: Final answer
    x = 1,782,590.02

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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.