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Finding the Third Proportional to 208,586 and 312,886

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Solution

The third proportional to 208,586 and 312,886 is: 469,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,586 : 312,886 = 312,886 : x
  2. Step 2: Convert to fraction form
    208,586/312,886 = 312,886/x
  3. Step 3: Cross multiply
    208,586x = 312,886 × 312,886
  4. Step 4: Simplify right side
    208,586x = 97,897,648,996
  5. Step 5: Solve for x
    x = 97,897,648,996/208,586
  6. Step 6: Final answer
    x = 469,339.50

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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.