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Finding the Third Proportional to 208,358 and 311,166

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Solution

The third proportional to 208,358 and 311,166 is: 464,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,358 : 311,166 = 311,166 : x
  2. Step 2: Convert to fraction form
    208,358/311,166 = 311,166/x
  3. Step 3: Cross multiply
    208,358x = 311,166 × 311,166
  4. Step 4: Simplify right side
    208,358x = 96,824,279,556
  5. Step 5: Solve for x
    x = 96,824,279,556/208,358
  6. Step 6: Final answer
    x = 464,701.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.