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Finding the Third Proportional to 291,211,242 and 393,573,310

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Solution

The third proportional to 291,211,242 and 393,573,310 is: 531,916,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,211,242 : 393,573,310 = 393,573,310 : x
  2. Step 2: Convert to fraction form
    291,211,242/393,573,310 = 393,573,310/x
  3. Step 3: Cross multiply
    291,211,242x = 393,573,310 × 393,573,310
  4. Step 4: Simplify right side
    291,211,242x = 154,899,950,344,356,096
  5. Step 5: Solve for x
    x = 154,899,950,344,356,096/291,211,242
  6. Step 6: Final answer
    x = 531,916,107.64

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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.