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Finding the Third Proportional to 986,905.50 and 2,120,664

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Solution

The third proportional to 986,905.50 and 2,120,664 is: 4,556,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,905.50 : 2,120,664 = 2,120,664 : x
  2. Step 2: Convert to fraction form
    986,905.50/2,120,664 = 2,120,664/x
  3. Step 3: Cross multiply
    986,905.50x = 2,120,664 × 2,120,664
  4. Step 4: Simplify right side
    986,905.50x = 4,497,215,800,896
  5. Step 5: Solve for x
    x = 4,497,215,800,896/986,905.50
  6. Step 6: Final answer
    x = 4,556,885.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.