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Finding the Third Proportional to 117,833,512 and 256,063,532

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Solution

The third proportional to 117,833,512 and 256,063,532 is: 556,450,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,833,512 : 256,063,532 = 256,063,532 : x
  2. Step 2: Convert to fraction form
    117,833,512/256,063,532 = 256,063,532/x
  3. Step 3: Cross multiply
    117,833,512x = 256,063,532 × 256,063,532
  4. Step 4: Simplify right side
    117,833,512x = 65,568,532,420,315,024
  5. Step 5: Solve for x
    x = 65,568,532,420,315,024/117,833,512
  6. Step 6: Final answer
    x = 556,450,633.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.