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Finding the Third Proportional to 458,153 and 986,217

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Solution

The third proportional to 458,153 and 986,217 is: 2,122,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,153 : 986,217 = 986,217 : x
  2. Step 2: Convert to fraction form
    458,153/986,217 = 986,217/x
  3. Step 3: Cross multiply
    458,153x = 986,217 × 986,217
  4. Step 4: Simplify right side
    458,153x = 972,623,971,089
  5. Step 5: Solve for x
    x = 972,623,971,089/458,153
  6. Step 6: Final answer
    x = 2,122,923.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.