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Finding the Third Proportional to 5,208,223.50 and 11,409,435

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Solution

The third proportional to 5,208,223.50 and 11,409,435 is: 24,994,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208,223.50 : 11,409,435 = 11,409,435 : x
  2. Step 2: Convert to fraction form
    5,208,223.50/11,409,435 = 11,409,435/x
  3. Step 3: Cross multiply
    5,208,223.50x = 11,409,435 × 11,409,435
  4. Step 4: Simplify right side
    5,208,223.50x = 130,175,207,019,225
  5. Step 5: Solve for x
    x = 130,175,207,019,225/5,208,223.50
  6. Step 6: Final answer
    x = 24,994,166.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.