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Finding the Third Proportional to 10,750,768.50 and 23,211,771

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Solution

The third proportional to 10,750,768.50 and 23,211,771 is: 50,116,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750,768.50 : 23,211,771 = 23,211,771 : x
  2. Step 2: Convert to fraction form
    10,750,768.50/23,211,771 = 23,211,771/x
  3. Step 3: Cross multiply
    10,750,768.50x = 23,211,771 × 23,211,771
  4. Step 4: Simplify right side
    10,750,768.50x = 538,786,312,956,441
  5. Step 5: Solve for x
    x = 538,786,312,956,441/10,750,768.50
  6. Step 6: Final answer
    x = 50,116,074.30

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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.