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Finding the Third Proportional to 423,861 and 920,622

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Solution

The third proportional to 423,861 and 920,622 is: 1,999,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,861 : 920,622 = 920,622 : x
  2. Step 2: Convert to fraction form
    423,861/920,622 = 920,622/x
  3. Step 3: Cross multiply
    423,861x = 920,622 × 920,622
  4. Step 4: Simplify right side
    423,861x = 847,544,866,884
  5. Step 5: Solve for x
    x = 847,544,866,884/423,861
  6. Step 6: Final answer
    x = 1,999,582.10

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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.