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Finding the Third Proportional to 438,097.50 and 662,991.75

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Solution

The third proportional to 438,097.50 and 662,991.75 is: 1,003,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,097.50 : 662,991.75 = 662,991.75 : x
  2. Step 2: Convert to fraction form
    438,097.50/662,991.75 = 662,991.75/x
  3. Step 3: Cross multiply
    438,097.50x = 662,991.75 × 662,991.75
  4. Step 4: Simplify right side
    438,097.50x = 439,558,060,568.06
  5. Step 5: Solve for x
    x = 439,558,060,568.06/438,097.50
  6. Step 6: Final answer
    x = 1,003,333.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.