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Finding the Third Proportional to 472,555.50 and 1,023,843

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Solution

The third proportional to 472,555.50 and 1,023,843 is: 2,218,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,555.50 : 1,023,843 = 1,023,843 : x
  2. Step 2: Convert to fraction form
    472,555.50/1,023,843 = 1,023,843/x
  3. Step 3: Cross multiply
    472,555.50x = 1,023,843 × 1,023,843
  4. Step 4: Simplify right side
    472,555.50x = 1,048,254,488,649
  5. Step 5: Solve for x
    x = 1,048,254,488,649/472,555.50
  6. Step 6: Final answer
    x = 2,218,267.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.