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Finding the Third Proportional to 463,821 and 661,495

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Solution

The third proportional to 463,821 and 661,495 is: 943,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,821 : 661,495 = 661,495 : x
  2. Step 2: Convert to fraction form
    463,821/661,495 = 661,495/x
  3. Step 3: Cross multiply
    463,821x = 661,495 × 661,495
  4. Step 4: Simplify right side
    463,821x = 437,575,635,025
  5. Step 5: Solve for x
    x = 437,575,635,025/463,821
  6. Step 6: Final answer
    x = 943,414.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.