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Finding the Third Proportional to 422,579 and 916,813

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Solution

The third proportional to 422,579 and 916,813 is: 1,989,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,579 : 916,813 = 916,813 : x
  2. Step 2: Convert to fraction form
    422,579/916,813 = 916,813/x
  3. Step 3: Cross multiply
    422,579x = 916,813 × 916,813
  4. Step 4: Simplify right side
    422,579x = 840,546,076,969
  5. Step 5: Solve for x
    x = 840,546,076,969/422,579
  6. Step 6: Final answer
    x = 1,989,086.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.