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Finding the Third Proportional to 305,150 and 668,430

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Solution

The third proportional to 305,150 and 668,430 is: 1,464,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,150 : 668,430 = 668,430 : x
  2. Step 2: Convert to fraction form
    305,150/668,430 = 668,430/x
  3. Step 3: Cross multiply
    305,150x = 668,430 × 668,430
  4. Step 4: Simplify right side
    305,150x = 446,798,664,900
  5. Step 5: Solve for x
    x = 446,798,664,900/305,150
  6. Step 6: Final answer
    x = 1,464,193.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.