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Finding the Third Proportional to 132,245 and 312,129

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Solution

The third proportional to 132,245 and 312,129 is: 736,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,245 : 312,129 = 312,129 : x
  2. Step 2: Convert to fraction form
    132,245/312,129 = 312,129/x
  3. Step 3: Cross multiply
    132,245x = 312,129 × 312,129
  4. Step 4: Simplify right side
    132,245x = 97,424,512,641
  5. Step 5: Solve for x
    x = 97,424,512,641/132,245
  6. Step 6: Final answer
    x = 736,697.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.