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Finding the Third Proportional to 206,358 and 311,616

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Solution

The third proportional to 206,358 and 311,616 is: 470,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,358 : 311,616 = 311,616 : x
  2. Step 2: Convert to fraction form
    206,358/311,616 = 311,616/x
  3. Step 3: Cross multiply
    206,358x = 311,616 × 311,616
  4. Step 4: Simplify right side
    206,358x = 97,104,531,456
  5. Step 5: Solve for x
    x = 97,104,531,456/206,358
  6. Step 6: Final answer
    x = 470,563.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.