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Finding the Third Proportional to 120,713 and 180,258

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Solution

The third proportional to 120,713 and 180,258 is: 269,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,713 : 180,258 = 180,258 : x
  2. Step 2: Convert to fraction form
    120,713/180,258 = 180,258/x
  3. Step 3: Cross multiply
    120,713x = 180,258 × 180,258
  4. Step 4: Simplify right side
    120,713x = 32,492,946,564
  5. Step 5: Solve for x
    x = 32,492,946,564/120,713
  6. Step 6: Final answer
    x = 269,175.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.