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Finding the Third Proportional to 424,170 and 621,999

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Solution

The third proportional to 424,170 and 621,999 is: 912,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,170 : 621,999 = 621,999 : x
  2. Step 2: Convert to fraction form
    424,170/621,999 = 621,999/x
  3. Step 3: Cross multiply
    424,170x = 621,999 × 621,999
  4. Step 4: Simplify right side
    424,170x = 386,882,756,001
  5. Step 5: Solve for x
    x = 386,882,756,001/424,170
  6. Step 6: Final answer
    x = 912,093.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.