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Finding the Third Proportional to 269,723 and 405,276

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Solution

The third proportional to 269,723 and 405,276 is: 608,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,723 : 405,276 = 405,276 : x
  2. Step 2: Convert to fraction form
    269,723/405,276 = 405,276/x
  3. Step 3: Cross multiply
    269,723x = 405,276 × 405,276
  4. Step 4: Simplify right side
    269,723x = 164,248,636,176
  5. Step 5: Solve for x
    x = 164,248,636,176/269,723
  6. Step 6: Final answer
    x = 608,953.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.