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Finding the Third Proportional to 386,391 and 829,913

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Solution

The third proportional to 386,391 and 829,913 is: 1,782,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,391 : 829,913 = 829,913 : x
  2. Step 2: Convert to fraction form
    386,391/829,913 = 829,913/x
  3. Step 3: Cross multiply
    386,391x = 829,913 × 829,913
  4. Step 4: Simplify right side
    386,391x = 688,755,587,569
  5. Step 5: Solve for x
    x = 688,755,587,569/386,391
  6. Step 6: Final answer
    x = 1,782,535.28

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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.