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Finding the Third Proportional to 51,465,780 and 113,166,720

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Solution

The third proportional to 51,465,780 and 113,166,720 is: 248,839,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,465,780 : 113,166,720 = 113,166,720 : x
  2. Step 2: Convert to fraction form
    51,465,780/113,166,720 = 113,166,720/x
  3. Step 3: Cross multiply
    51,465,780x = 113,166,720 × 113,166,720
  4. Step 4: Simplify right side
    51,465,780x = 12,806,706,515,558,400
  5. Step 5: Solve for x
    x = 12,806,706,515,558,400/51,465,780
  6. Step 6: Final answer
    x = 248,839,258.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.