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Finding the Third Proportional to 309,432 and 675,224

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Solution

The third proportional to 309,432 and 675,224 is: 1,473,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,432 : 675,224 = 675,224 : x
  2. Step 2: Convert to fraction form
    309,432/675,224 = 675,224/x
  3. Step 3: Cross multiply
    309,432x = 675,224 × 675,224
  4. Step 4: Simplify right side
    309,432x = 455,927,450,176
  5. Step 5: Solve for x
    x = 455,927,450,176/309,432
  6. Step 6: Final answer
    x = 1,473,433.42

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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.