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Finding the Third Proportional to 452,121.75 and 975,228.75

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Solution

The third proportional to 452,121.75 and 975,228.75 is: 2,103,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,121.75 : 975,228.75 = 975,228.75 : x
  2. Step 2: Convert to fraction form
    452,121.75/975,228.75 = 975,228.75/x
  3. Step 3: Cross multiply
    452,121.75x = 975,228.75 × 975,228.75
  4. Step 4: Simplify right side
    452,121.75x = 951,071,114,826.56
  5. Step 5: Solve for x
    x = 951,071,114,826.56/452,121.75
  6. Step 6: Final answer
    x = 2,103,573.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.