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Finding the Third Proportional to 22,770,100 and 34,977,369

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Solution

The third proportional to 22,770,100 and 34,977,369 is: 53,729,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770,100 : 34,977,369 = 34,977,369 : x
  2. Step 2: Convert to fraction form
    22,770,100/34,977,369 = 34,977,369/x
  3. Step 3: Cross multiply
    22,770,100x = 34,977,369 × 34,977,369
  4. Step 4: Simplify right side
    22,770,100x = 1,223,416,342,162,161
  5. Step 5: Solve for x
    x = 1,223,416,342,162,161/22,770,100
  6. Step 6: Final answer
    x = 53,729,071.99

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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.