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Finding the Third Proportional to 430,010 and 668,067

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Solution

The third proportional to 430,010 and 668,067 is: 1,037,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,010 : 668,067 = 668,067 : x
  2. Step 2: Convert to fraction form
    430,010/668,067 = 668,067/x
  3. Step 3: Cross multiply
    430,010x = 668,067 × 668,067
  4. Step 4: Simplify right side
    430,010x = 446,313,516,489
  5. Step 5: Solve for x
    x = 446,313,516,489/430,010
  6. Step 6: Final answer
    x = 1,037,914.27

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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.