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Finding the Third Proportional to 256,298,810 and 559,171,387

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Solution

The third proportional to 256,298,810 and 559,171,387 is: 1,219,953,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,298,810 : 559,171,387 = 559,171,387 : x
  2. Step 2: Convert to fraction form
    256,298,810/559,171,387 = 559,171,387/x
  3. Step 3: Cross multiply
    256,298,810x = 559,171,387 × 559,171,387
  4. Step 4: Simplify right side
    256,298,810x = 312,672,640,039,503,744
  5. Step 5: Solve for x
    x = 312,672,640,039,503,744/256,298,810
  6. Step 6: Final answer
    x = 1,219,953,537.98

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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.