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Finding the Third Proportional to 420,233 and 899,515

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Solution

The third proportional to 420,233 and 899,515 is: 1,925,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,233 : 899,515 = 899,515 : x
  2. Step 2: Convert to fraction form
    420,233/899,515 = 899,515/x
  3. Step 3: Cross multiply
    420,233x = 899,515 × 899,515
  4. Step 4: Simplify right side
    420,233x = 809,127,235,225
  5. Step 5: Solve for x
    x = 809,127,235,225/420,233
  6. Step 6: Final answer
    x = 1,925,425.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.