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Finding the Third Proportional to 372,284,416 and 818,419,447

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Solution

The third proportional to 372,284,416 and 818,419,447 is: 1,799,189,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,284,416 : 818,419,447 = 818,419,447 : x
  2. Step 2: Convert to fraction form
    372,284,416/818,419,447 = 818,419,447/x
  3. Step 3: Cross multiply
    372,284,416x = 818,419,447 × 818,419,447
  4. Step 4: Simplify right side
    372,284,416x = 669,810,391,227,785,856
  5. Step 5: Solve for x
    x = 669,810,391,227,785,856/372,284,416
  6. Step 6: Final answer
    x = 1,799,189,980.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.