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Finding the Third Proportional to 240,938 and 321,987

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Solution

The third proportional to 240,938 and 321,987 is: 430,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,938 : 321,987 = 321,987 : x
  2. Step 2: Convert to fraction form
    240,938/321,987 = 321,987/x
  3. Step 3: Cross multiply
    240,938x = 321,987 × 321,987
  4. Step 4: Simplify right side
    240,938x = 103,675,628,169
  5. Step 5: Solve for x
    x = 103,675,628,169/240,938
  6. Step 6: Final answer
    x = 430,300.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.