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Finding the Third Proportional to 391,284 and 621,944

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Solution

The third proportional to 391,284 and 621,944 is: 988,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,284 : 621,944 = 621,944 : x
  2. Step 2: Convert to fraction form
    391,284/621,944 = 621,944/x
  3. Step 3: Cross multiply
    391,284x = 621,944 × 621,944
  4. Step 4: Simplify right side
    391,284x = 386,814,339,136
  5. Step 5: Solve for x
    x = 386,814,339,136/391,284
  6. Step 6: Final answer
    x = 988,576.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.