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Finding the Third Proportional to 291,211,264 and 393,573,343

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Solution

The third proportional to 291,211,264 and 393,573,343 is: 531,916,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,211,264 : 393,573,343 = 393,573,343 : x
  2. Step 2: Convert to fraction form
    291,211,264/393,573,343 = 393,573,343/x
  3. Step 3: Cross multiply
    291,211,264x = 393,573,343 × 393,573,343
  4. Step 4: Simplify right side
    291,211,264x = 154,899,976,320,195,648
  5. Step 5: Solve for x
    x = 154,899,976,320,195,648/291,211,264
  6. Step 6: Final answer
    x = 531,916,156.65

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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.