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Finding the Third Proportional to 113,194,104 and 242,539,248

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Solution

The third proportional to 113,194,104 and 242,539,248 is: 519,685,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,194,104 : 242,539,248 = 242,539,248 : x
  2. Step 2: Convert to fraction form
    113,194,104/242,539,248 = 242,539,248/x
  3. Step 3: Cross multiply
    113,194,104x = 242,539,248 × 242,539,248
  4. Step 4: Simplify right side
    113,194,104x = 58,825,286,820,405,504
  5. Step 5: Solve for x
    x = 58,825,286,820,405,504/113,194,104
  6. Step 6: Final answer
    x = 519,685,078.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.