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Finding the Third Proportional to 422,593 and 916,840

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Solution

The third proportional to 422,593 and 916,840 is: 1,989,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,593 : 916,840 = 916,840 : x
  2. Step 2: Convert to fraction form
    422,593/916,840 = 916,840/x
  3. Step 3: Cross multiply
    422,593x = 916,840 × 916,840
  4. Step 4: Simplify right side
    422,593x = 840,595,585,600
  5. Step 5: Solve for x
    x = 840,595,585,600/422,593
  6. Step 6: Final answer
    x = 1,989,137.50

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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.