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Finding the Third Proportional to 578,140.50 and 1,271,610

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Solution

The third proportional to 578,140.50 and 1,271,610 is: 2,796,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,140.50 : 1,271,610 = 1,271,610 : x
  2. Step 2: Convert to fraction form
    578,140.50/1,271,610 = 1,271,610/x
  3. Step 3: Cross multiply
    578,140.50x = 1,271,610 × 1,271,610
  4. Step 4: Simplify right side
    578,140.50x = 1,616,991,992,100
  5. Step 5: Solve for x
    x = 1,616,991,992,100/578,140.50
  6. Step 6: Final answer
    x = 2,796,884.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.