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Finding the Third Proportional to 121,286,600 and 263,823,820

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Solution

The third proportional to 121,286,600 and 263,823,820 is: 573,872,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,286,600 : 263,823,820 = 263,823,820 : x
  2. Step 2: Convert to fraction form
    121,286,600/263,823,820 = 263,823,820/x
  3. Step 3: Cross multiply
    121,286,600x = 263,823,820 × 263,823,820
  4. Step 4: Simplify right side
    121,286,600x = 69,603,007,999,392,400
  5. Step 5: Solve for x
    x = 69,603,007,999,392,400/121,286,600
  6. Step 6: Final answer
    x = 573,872,200.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.