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Finding the Third Proportional to 399,490 and 857,732

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Solution

The third proportional to 399,490 and 857,732 is: 1,841,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,490 : 857,732 = 857,732 : x
  2. Step 2: Convert to fraction form
    399,490/857,732 = 857,732/x
  3. Step 3: Cross multiply
    399,490x = 857,732 × 857,732
  4. Step 4: Simplify right side
    399,490x = 735,704,183,824
  5. Step 5: Solve for x
    x = 735,704,183,824/399,490
  6. Step 6: Final answer
    x = 1,841,608.51

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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.