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Finding the Third Proportional to 420,709 and 905,570

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Solution

The third proportional to 420,709 and 905,570 is: 1,949,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,709 : 905,570 = 905,570 : x
  2. Step 2: Convert to fraction form
    420,709/905,570 = 905,570/x
  3. Step 3: Cross multiply
    420,709x = 905,570 × 905,570
  4. Step 4: Simplify right side
    420,709x = 820,057,024,900
  5. Step 5: Solve for x
    x = 820,057,024,900/420,709
  6. Step 6: Final answer
    x = 1,949,226.25

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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.