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Finding the Third Proportional to 208,699 and 279,586.50

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Solution

The third proportional to 208,699 and 279,586.50 is: 374,551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,699 : 279,586.50 = 279,586.50 : x
  2. Step 2: Convert to fraction form
    208,699/279,586.50 = 279,586.50/x
  3. Step 3: Cross multiply
    208,699x = 279,586.50 × 279,586.50
  4. Step 4: Simplify right side
    208,699x = 78,168,610,982.25
  5. Step 5: Solve for x
    x = 78,168,610,982.25/208,699
  6. Step 6: Final answer
    x = 374,551.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.