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Finding the Third Proportional to 256,491,407 and 520,119,985

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Solution

The third proportional to 256,491,407 and 520,119,985 is: 1,054,712,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,491,407 : 520,119,985 = 520,119,985 : x
  2. Step 2: Convert to fraction form
    256,491,407/520,119,985 = 520,119,985/x
  3. Step 3: Cross multiply
    256,491,407x = 520,119,985 × 520,119,985
  4. Step 4: Simplify right side
    256,491,407x = 270,524,798,796,400,224
  5. Step 5: Solve for x
    x = 270,524,798,796,400,224/256,491,407
  6. Step 6: Final answer
    x = 1,054,712,912.06

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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.