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Finding the Third Proportional to 2,243,130.75 and 3,289,743

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Solution

The third proportional to 2,243,130.75 and 3,289,743 is: 4,824,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,130.75 : 3,289,743 = 3,289,743 : x
  2. Step 2: Convert to fraction form
    2,243,130.75/3,289,743 = 3,289,743/x
  3. Step 3: Cross multiply
    2,243,130.75x = 3,289,743 × 3,289,743
  4. Step 4: Simplify right side
    2,243,130.75x = 10,822,409,006,049
  5. Step 5: Solve for x
    x = 10,822,409,006,049/2,243,130.75
  6. Step 6: Final answer
    x = 4,824,689.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.