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Finding the Third Proportional to 259,176 and 423,213

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Solution

The third proportional to 259,176 and 423,213 is: 691,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,176 : 423,213 = 423,213 : x
  2. Step 2: Convert to fraction form
    259,176/423,213 = 423,213/x
  3. Step 3: Cross multiply
    259,176x = 423,213 × 423,213
  4. Step 4: Simplify right side
    259,176x = 179,109,243,369
  5. Step 5: Solve for x
    x = 179,109,243,369/259,176
  6. Step 6: Final answer
    x = 691,071.87

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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.