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Finding the Third Proportional to 645,429 and 1,418,241

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Solution

The third proportional to 645,429 and 1,418,241 is: 3,116,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,429 : 1,418,241 = 1,418,241 : x
  2. Step 2: Convert to fraction form
    645,429/1,418,241 = 1,418,241/x
  3. Step 3: Cross multiply
    645,429x = 1,418,241 × 1,418,241
  4. Step 4: Simplify right side
    645,429x = 2,011,407,534,081
  5. Step 5: Solve for x
    x = 2,011,407,534,081/645,429
  6. Step 6: Final answer
    x = 3,116,388.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.