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Finding the Third Proportional to 523,400 and 1,150,020.50

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Solution

The third proportional to 523,400 and 1,150,020.50 is: 2,526,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,400 : 1,150,020.50 = 1,150,020.50 : x
  2. Step 2: Convert to fraction form
    523,400/1,150,020.50 = 1,150,020.50/x
  3. Step 3: Cross multiply
    523,400x = 1,150,020.50 × 1,150,020.50
  4. Step 4: Simplify right side
    523,400x = 1,322,547,150,420.25
  5. Step 5: Solve for x
    x = 1,322,547,150,420.25/523,400
  6. Step 6: Final answer
    x = 2,526,838.27

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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.