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Finding the Third Proportional to 643,028 and 1,412,956

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Solution

The third proportional to 643,028 and 1,412,956 is: 3,104,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,028 : 1,412,956 = 1,412,956 : x
  2. Step 2: Convert to fraction form
    643,028/1,412,956 = 1,412,956/x
  3. Step 3: Cross multiply
    643,028x = 1,412,956 × 1,412,956
  4. Step 4: Simplify right side
    643,028x = 1,996,444,657,936
  5. Step 5: Solve for x
    x = 1,996,444,657,936/643,028
  6. Step 6: Final answer
    x = 3,104,755.40

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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.