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Finding the Third Proportional to 399,740 and 815,537

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Solution

The third proportional to 399,740 and 815,537 is: 1,663,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,740 : 815,537 = 815,537 : x
  2. Step 2: Convert to fraction form
    399,740/815,537 = 815,537/x
  3. Step 3: Cross multiply
    399,740x = 815,537 × 815,537
  4. Step 4: Simplify right side
    399,740x = 665,100,598,369
  5. Step 5: Solve for x
    x = 665,100,598,369/399,740
  6. Step 6: Final answer
    x = 1,663,832.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.