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Finding the Third Proportional to 4,197,447 and 8,899,321.50

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Solution

The third proportional to 4,197,447 and 8,899,321.50 is: 18,868,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,447 : 8,899,321.50 = 8,899,321.50 : x
  2. Step 2: Convert to fraction form
    4,197,447/8,899,321.50 = 8,899,321.50/x
  3. Step 3: Cross multiply
    4,197,447x = 8,899,321.50 × 8,899,321.50
  4. Step 4: Simplify right side
    4,197,447x = 79,197,923,160,362.25
  5. Step 5: Solve for x
    x = 79,197,923,160,362.25/4,197,447
  6. Step 6: Final answer
    x = 18,868,117.49

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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.