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Finding the Third Proportional to 47,975,191 and 103,610,448

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Solution

The third proportional to 47,975,191 and 103,610,448 is: 223,764,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975,191 : 103,610,448 = 103,610,448 : x
  2. Step 2: Convert to fraction form
    47,975,191/103,610,448 = 103,610,448/x
  3. Step 3: Cross multiply
    47,975,191x = 103,610,448 × 103,610,448
  4. Step 4: Simplify right side
    47,975,191x = 10,735,124,934,760,704
  5. Step 5: Solve for x
    x = 10,735,124,934,760,704/47,975,191
  6. Step 6: Final answer
    x = 223,764,089.54

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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.