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Finding the Third Proportional to 132,247 and 312,135

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Solution

The third proportional to 132,247 and 312,135 is: 736,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,247 : 312,135 = 312,135 : x
  2. Step 2: Convert to fraction form
    132,247/312,135 = 312,135/x
  3. Step 3: Cross multiply
    132,247x = 312,135 × 312,135
  4. Step 4: Simplify right side
    132,247x = 97,428,258,225
  5. Step 5: Solve for x
    x = 97,428,258,225/132,247
  6. Step 6: Final answer
    x = 736,714.32

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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.