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Finding the Third Proportional to 125,221 and 256,202

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Solution

The third proportional to 125,221 and 256,202 is: 524,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,221 : 256,202 = 256,202 : x
  2. Step 2: Convert to fraction form
    125,221/256,202 = 256,202/x
  3. Step 3: Cross multiply
    125,221x = 256,202 × 256,202
  4. Step 4: Simplify right side
    125,221x = 65,639,464,804
  5. Step 5: Solve for x
    x = 65,639,464,804/125,221
  6. Step 6: Final answer
    x = 524,188.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.