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Finding the Third Proportional to 132,390 and 312,258

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Solution

The third proportional to 132,390 and 312,258 is: 736,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,390 : 312,258 = 312,258 : x
  2. Step 2: Convert to fraction form
    132,390/312,258 = 312,258/x
  3. Step 3: Cross multiply
    132,390x = 312,258 × 312,258
  4. Step 4: Simplify right side
    132,390x = 97,505,058,564
  5. Step 5: Solve for x
    x = 97,505,058,564/132,390
  6. Step 6: Final answer
    x = 736,498.67

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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.