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Finding the Third Proportional to 1,987,497 and 4,289,742

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Solution

The third proportional to 1,987,497 and 4,289,742 is: 9,258,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987,497 : 4,289,742 = 4,289,742 : x
  2. Step 2: Convert to fraction form
    1,987,497/4,289,742 = 4,289,742/x
  3. Step 3: Cross multiply
    1,987,497x = 4,289,742 × 4,289,742
  4. Step 4: Simplify right side
    1,987,497x = 18,401,886,426,564
  5. Step 5: Solve for x
    x = 18,401,886,426,564/1,987,497
  6. Step 6: Final answer
    x = 9,258,824.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.