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Finding the Third Proportional to 422,434 and 653,705

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Solution

The third proportional to 422,434 and 653,705 is: 1,011,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,434 : 653,705 = 653,705 : x
  2. Step 2: Convert to fraction form
    422,434/653,705 = 653,705/x
  3. Step 3: Cross multiply
    422,434x = 653,705 × 653,705
  4. Step 4: Simplify right side
    422,434x = 427,330,227,025
  5. Step 5: Solve for x
    x = 427,330,227,025/422,434
  6. Step 6: Final answer
    x = 1,011,590.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.