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Finding the Third Proportional to 113,408,120 and 247,342,342

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Solution

The third proportional to 113,408,120 and 247,342,342 is: 539,451,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,408,120 : 247,342,342 = 247,342,342 : x
  2. Step 2: Convert to fraction form
    113,408,120/247,342,342 = 247,342,342/x
  3. Step 3: Cross multiply
    113,408,120x = 247,342,342 × 247,342,342
  4. Step 4: Simplify right side
    113,408,120x = 61,178,234,146,044,960
  5. Step 5: Solve for x
    x = 61,178,234,146,044,960/113,408,120
  6. Step 6: Final answer
    x = 539,451,973.51

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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.