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Finding the Third Proportional to 430,967 and 874,242

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Solution

The third proportional to 430,967 and 874,242 is: 1,773,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,967 : 874,242 = 874,242 : x
  2. Step 2: Convert to fraction form
    430,967/874,242 = 874,242/x
  3. Step 3: Cross multiply
    430,967x = 874,242 × 874,242
  4. Step 4: Simplify right side
    430,967x = 764,299,074,564
  5. Step 5: Solve for x
    x = 764,299,074,564/430,967
  6. Step 6: Final answer
    x = 1,773,451.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.