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Finding the Third Proportional to 208,097 and 311,575

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Solution

The third proportional to 208,097 and 311,575 is: 466,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,097 : 311,575 = 311,575 : x
  2. Step 2: Convert to fraction form
    208,097/311,575 = 311,575/x
  3. Step 3: Cross multiply
    208,097x = 311,575 × 311,575
  4. Step 4: Simplify right side
    208,097x = 97,078,980,625
  5. Step 5: Solve for x
    x = 97,078,980,625/208,097
  6. Step 6: Final answer
    x = 466,508.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.