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Finding the Third Proportional to 131,038 and 312,037

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Solution

The third proportional to 131,038 and 312,037 is: 743,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,038 : 312,037 = 312,037 : x
  2. Step 2: Convert to fraction form
    131,038/312,037 = 312,037/x
  3. Step 3: Cross multiply
    131,038x = 312,037 × 312,037
  4. Step 4: Simplify right side
    131,038x = 97,367,089,369
  5. Step 5: Solve for x
    x = 97,367,089,369/131,038
  6. Step 6: Final answer
    x = 743,044.68

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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.