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Finding the Third Proportional to 463,817 and 661,489

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Solution

The third proportional to 463,817 and 661,489 is: 943,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,817 : 661,489 = 661,489 : x
  2. Step 2: Convert to fraction form
    463,817/661,489 = 661,489/x
  3. Step 3: Cross multiply
    463,817x = 661,489 × 661,489
  4. Step 4: Simplify right side
    463,817x = 437,567,697,121
  5. Step 5: Solve for x
    x = 437,567,697,121/463,817
  6. Step 6: Final answer
    x = 943,405.91

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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.