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Finding the Third Proportional to 987,039 and 2,143,206

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Solution

The third proportional to 987,039 and 2,143,206 is: 4,653,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,039 : 2,143,206 = 2,143,206 : x
  2. Step 2: Convert to fraction form
    987,039/2,143,206 = 2,143,206/x
  3. Step 3: Cross multiply
    987,039x = 2,143,206 × 2,143,206
  4. Step 4: Simplify right side
    987,039x = 4,593,331,958,436
  5. Step 5: Solve for x
    x = 4,593,331,958,436/987,039
  6. Step 6: Final answer
    x = 4,653,647.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.