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Finding the Third Proportional to 11,800,712 and 18,225,142

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Solution

The third proportional to 11,800,712 and 18,225,142 is: 28,147,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800,712 : 18,225,142 = 18,225,142 : x
  2. Step 2: Convert to fraction form
    11,800,712/18,225,142 = 18,225,142/x
  3. Step 3: Cross multiply
    11,800,712x = 18,225,142 × 18,225,142
  4. Step 4: Simplify right side
    11,800,712x = 332,155,800,920,164
  5. Step 5: Solve for x
    x = 332,155,800,920,164/11,800,712
  6. Step 6: Final answer
    x = 28,147,098.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.