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Finding the Third Proportional to 419,041.50 and 648,717.75

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Solution

The third proportional to 419,041.50 and 648,717.75 is: 1,004,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,041.50 : 648,717.75 = 648,717.75 : x
  2. Step 2: Convert to fraction form
    419,041.50/648,717.75 = 648,717.75/x
  3. Step 3: Cross multiply
    419,041.50x = 648,717.75 × 648,717.75
  4. Step 4: Simplify right side
    419,041.50x = 420,834,719,165.06
  5. Step 5: Solve for x
    x = 420,834,719,165.06/419,041.50
  6. Step 6: Final answer
    x = 1,004,279.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.