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Finding the Third Proportional to 146,690 and 321,430

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Solution

The third proportional to 146,690 and 321,430 is: 704,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,690 : 321,430 = 321,430 : x
  2. Step 2: Convert to fraction form
    146,690/321,430 = 321,430/x
  3. Step 3: Cross multiply
    146,690x = 321,430 × 321,430
  4. Step 4: Simplify right side
    146,690x = 103,317,244,900
  5. Step 5: Solve for x
    x = 103,317,244,900/146,690
  6. Step 6: Final answer
    x = 704,323.71

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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.