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Finding the Third Proportional to 431,634 and 677,108

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Solution

The third proportional to 431,634 and 677,108 is: 1,062,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,634 : 677,108 = 677,108 : x
  2. Step 2: Convert to fraction form
    431,634/677,108 = 677,108/x
  3. Step 3: Cross multiply
    431,634x = 677,108 × 677,108
  4. Step 4: Simplify right side
    431,634x = 458,475,243,664
  5. Step 5: Solve for x
    x = 458,475,243,664/431,634
  6. Step 6: Final answer
    x = 1,062,185.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.