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Finding the Third Proportional to 259,216 and 423,276

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Solution

The third proportional to 259,216 and 423,276 is: 691,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,216 : 423,276 = 423,276 : x
  2. Step 2: Convert to fraction form
    259,216/423,276 = 423,276/x
  3. Step 3: Cross multiply
    259,216x = 423,276 × 423,276
  4. Step 4: Simplify right side
    259,216x = 179,162,572,176
  5. Step 5: Solve for x
    x = 179,162,572,176/259,216
  6. Step 6: Final answer
    x = 691,170.96

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.