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Finding the Third Proportional to 122,492 and 262,478

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Solution

The third proportional to 122,492 and 262,478 is: 562,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,492 : 262,478 = 262,478 : x
  2. Step 2: Convert to fraction form
    122,492/262,478 = 262,478/x
  3. Step 3: Cross multiply
    122,492x = 262,478 × 262,478
  4. Step 4: Simplify right side
    122,492x = 68,894,700,484
  5. Step 5: Solve for x
    x = 68,894,700,484/122,492
  6. Step 6: Final answer
    x = 562,442.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.