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Finding the Third Proportional to 689,579 and 1,462,087

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Solution

The third proportional to 689,579 and 1,462,087 is: 3,100,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,579 : 1,462,087 = 1,462,087 : x
  2. Step 2: Convert to fraction form
    689,579/1,462,087 = 1,462,087/x
  3. Step 3: Cross multiply
    689,579x = 1,462,087 × 1,462,087
  4. Step 4: Simplify right side
    689,579x = 2,137,698,395,569
  5. Step 5: Solve for x
    x = 2,137,698,395,569/689,579
  6. Step 6: Final answer
    x = 3,100,005.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.