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Finding the Third Proportional to 209,616 and 296,316

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Solution

The third proportional to 209,616 and 296,316 is: 418,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,616 : 296,316 = 296,316 : x
  2. Step 2: Convert to fraction form
    209,616/296,316 = 296,316/x
  3. Step 3: Cross multiply
    209,616x = 296,316 × 296,316
  4. Step 4: Simplify right side
    209,616x = 87,803,171,856
  5. Step 5: Solve for x
    x = 87,803,171,856/209,616
  6. Step 6: Final answer
    x = 418,876.29

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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.