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Finding the Third Proportional to 131,036 and 312,032

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Solution

The third proportional to 131,036 and 312,032 is: 743,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,036 : 312,032 = 312,032 : x
  2. Step 2: Convert to fraction form
    131,036/312,032 = 312,032/x
  3. Step 3: Cross multiply
    131,036x = 312,032 × 312,032
  4. Step 4: Simplify right side
    131,036x = 97,363,969,024
  5. Step 5: Solve for x
    x = 97,363,969,024/131,036
  6. Step 6: Final answer
    x = 743,032.21

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.