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Finding the Third Proportional to 1,421,865 and 2,180,313

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Solution

The third proportional to 1,421,865 and 2,180,313 is: 3,343,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,865 : 2,180,313 = 2,180,313 : x
  2. Step 2: Convert to fraction form
    1,421,865/2,180,313 = 2,180,313/x
  3. Step 3: Cross multiply
    1,421,865x = 2,180,313 × 2,180,313
  4. Step 4: Simplify right side
    1,421,865x = 4,753,764,777,969
  5. Step 5: Solve for x
    x = 4,753,764,777,969/1,421,865
  6. Step 6: Final answer
    x = 3,343,330.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.