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Finding the Third Proportional to 120,492 and 262,440

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Solution

The third proportional to 120,492 and 262,440 is: 571,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,492 : 262,440 = 262,440 : x
  2. Step 2: Convert to fraction form
    120,492/262,440 = 262,440/x
  3. Step 3: Cross multiply
    120,492x = 262,440 × 262,440
  4. Step 4: Simplify right side
    120,492x = 68,874,753,600
  5. Step 5: Solve for x
    x = 68,874,753,600/120,492
  6. Step 6: Final answer
    x = 571,612.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.