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Finding the Third Proportional to 291,211,240 and 393,573,307

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Solution

The third proportional to 291,211,240 and 393,573,307 is: 531,916,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,211,240 : 393,573,307 = 393,573,307 : x
  2. Step 2: Convert to fraction form
    291,211,240/393,573,307 = 393,573,307/x
  3. Step 3: Cross multiply
    291,211,240x = 393,573,307 × 393,573,307
  4. Step 4: Simplify right side
    291,211,240x = 154,899,947,982,916,256
  5. Step 5: Solve for x
    x = 154,899,947,982,916,256/291,211,240
  6. Step 6: Final answer
    x = 531,916,103.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.