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Finding the Third Proportional to 256,491,405 and 520,119,981

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Solution

The third proportional to 256,491,405 and 520,119,981 is: 1,054,712,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,491,405 : 520,119,981 = 520,119,981 : x
  2. Step 2: Convert to fraction form
    256,491,405/520,119,981 = 520,119,981/x
  3. Step 3: Cross multiply
    256,491,405x = 520,119,981 × 520,119,981
  4. Step 4: Simplify right side
    256,491,405x = 270,524,794,635,440,352
  5. Step 5: Solve for x
    x = 270,524,794,635,440,352/256,491,405
  6. Step 6: Final answer
    x = 1,054,712,904.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.