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Finding the Third Proportional to 1,418,130 and 2,128,221

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Solution

The third proportional to 1,418,130 and 2,128,221 is: 3,193,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,130 : 2,128,221 = 2,128,221 : x
  2. Step 2: Convert to fraction form
    1,418,130/2,128,221 = 2,128,221/x
  3. Step 3: Cross multiply
    1,418,130x = 2,128,221 × 2,128,221
  4. Step 4: Simplify right side
    1,418,130x = 4,529,324,624,841
  5. Step 5: Solve for x
    x = 4,529,324,624,841/1,418,130
  6. Step 6: Final answer
    x = 3,193,871.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.