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Finding the Third Proportional to 244,572 and 321,610

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Solution

The third proportional to 244,572 and 321,610 is: 422,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,572 : 321,610 = 321,610 : x
  2. Step 2: Convert to fraction form
    244,572/321,610 = 321,610/x
  3. Step 3: Cross multiply
    244,572x = 321,610 × 321,610
  4. Step 4: Simplify right side
    244,572x = 103,432,992,100
  5. Step 5: Solve for x
    x = 103,432,992,100/244,572
  6. Step 6: Final answer
    x = 422,914.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.