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Finding the Third Proportional to 420,288 and 899,622

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Solution

The third proportional to 420,288 and 899,622 is: 1,925,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,288 : 899,622 = 899,622 : x
  2. Step 2: Convert to fraction form
    420,288/899,622 = 899,622/x
  3. Step 3: Cross multiply
    420,288x = 899,622 × 899,622
  4. Step 4: Simplify right side
    420,288x = 809,319,742,884
  5. Step 5: Solve for x
    x = 809,319,742,884/420,288
  6. Step 6: Final answer
    x = 1,925,631.34

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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.