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Finding the Third Proportional to 256,735 and 558,602

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Solution

The third proportional to 256,735 and 558,602 is: 1,215,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,735 : 558,602 = 558,602 : x
  2. Step 2: Convert to fraction form
    256,735/558,602 = 558,602/x
  3. Step 3: Cross multiply
    256,735x = 558,602 × 558,602
  4. Step 4: Simplify right side
    256,735x = 312,036,194,404
  5. Step 5: Solve for x
    x = 312,036,194,404/256,735
  6. Step 6: Final answer
    x = 1,215,401.85

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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.