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Finding the Third Proportional to 209,628 and 296,328

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Solution

The third proportional to 209,628 and 296,328 is: 418,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,628 : 296,328 = 296,328 : x
  2. Step 2: Convert to fraction form
    209,628/296,328 = 296,328/x
  3. Step 3: Cross multiply
    209,628x = 296,328 × 296,328
  4. Step 4: Simplify right side
    209,628x = 87,810,283,584
  5. Step 5: Solve for x
    x = 87,810,283,584/209,628
  6. Step 6: Final answer
    x = 418,886.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.