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Finding the Third Proportional to 942,106 and 2,043,803

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Solution

The third proportional to 942,106 and 2,043,803 is: 4,433,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,106 : 2,043,803 = 2,043,803 : x
  2. Step 2: Convert to fraction form
    942,106/2,043,803 = 2,043,803/x
  3. Step 3: Cross multiply
    942,106x = 2,043,803 × 2,043,803
  4. Step 4: Simplify right side
    942,106x = 4,177,130,702,809
  5. Step 5: Solve for x
    x = 4,177,130,702,809/942,106
  6. Step 6: Final answer
    x = 4,433,822.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.