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Finding the Third Proportional to 208,083 and 312,153

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Solution

The third proportional to 208,083 and 312,153 is: 468,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,083 : 312,153 = 312,153 : x
  2. Step 2: Convert to fraction form
    208,083/312,153 = 312,153/x
  3. Step 3: Cross multiply
    208,083x = 312,153 × 312,153
  4. Step 4: Simplify right side
    208,083x = 97,439,495,409
  5. Step 5: Solve for x
    x = 97,439,495,409/208,083
  6. Step 6: Final answer
    x = 468,272.25

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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.