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Finding the Third Proportional to 256,298,812 and 559,171,391

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Solution

The third proportional to 256,298,812 and 559,171,391 is: 1,219,953,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,298,812 : 559,171,391 = 559,171,391 : x
  2. Step 2: Convert to fraction form
    256,298,812/559,171,391 = 559,171,391/x
  3. Step 3: Cross multiply
    256,298,812x = 559,171,391 × 559,171,391
  4. Step 4: Simplify right side
    256,298,812x = 312,672,644,512,874,880
  5. Step 5: Solve for x
    x = 312,672,644,512,874,880/256,298,812
  6. Step 6: Final answer
    x = 1,219,953,545.91

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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.