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Finding the Third Proportional to 208,031 and 312,051

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Solution

The third proportional to 208,031 and 312,051 is: 468,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,031 : 312,051 = 312,051 : x
  2. Step 2: Convert to fraction form
    208,031/312,051 = 312,051/x
  3. Step 3: Cross multiply
    208,031x = 312,051 × 312,051
  4. Step 4: Simplify right side
    208,031x = 97,375,826,601
  5. Step 5: Solve for x
    x = 97,375,826,601/208,031
  6. Step 6: Final answer
    x = 468,083.25

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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.