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Finding the Third Proportional to 421,713 and 679,137.75

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Solution

The third proportional to 421,713 and 679,137.75 is: 1,093,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,713 : 679,137.75 = 679,137.75 : x
  2. Step 2: Convert to fraction form
    421,713/679,137.75 = 679,137.75/x
  3. Step 3: Cross multiply
    421,713x = 679,137.75 × 679,137.75
  4. Step 4: Simplify right side
    421,713x = 461,228,083,475.06
  5. Step 5: Solve for x
    x = 461,228,083,475.06/421,713
  6. Step 6: Final answer
    x = 1,093,701.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.