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Finding the Third Proportional to 256,298,814 and 559,171,395

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Solution

The third proportional to 256,298,814 and 559,171,395 is: 1,219,953,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,298,814 : 559,171,395 = 559,171,395 : x
  2. Step 2: Convert to fraction form
    256,298,814/559,171,395 = 559,171,395/x
  3. Step 3: Cross multiply
    256,298,814x = 559,171,395 × 559,171,395
  4. Step 4: Simplify right side
    256,298,814x = 312,672,648,986,246,016
  5. Step 5: Solve for x
    x = 312,672,648,986,246,016/256,298,814
  6. Step 6: Final answer
    x = 1,219,953,553.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.