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Finding the Third Proportional to 524,200.50 and 1,146,543

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Solution

The third proportional to 524,200.50 and 1,146,543 is: 2,507,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,200.50 : 1,146,543 = 1,146,543 : x
  2. Step 2: Convert to fraction form
    524,200.50/1,146,543 = 1,146,543/x
  3. Step 3: Cross multiply
    524,200.50x = 1,146,543 × 1,146,543
  4. Step 4: Simplify right side
    524,200.50x = 1,314,560,850,849
  5. Step 5: Solve for x
    x = 1,314,560,850,849/524,200.50
  6. Step 6: Final answer
    x = 2,507,744.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.