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Finding the Third Proportional to 180,630 and 268,335

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Solution

The third proportional to 180,630 and 268,335 is: 398,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,630 : 268,335 = 268,335 : x
  2. Step 2: Convert to fraction form
    180,630/268,335 = 268,335/x
  3. Step 3: Cross multiply
    180,630x = 268,335 × 268,335
  4. Step 4: Simplify right side
    180,630x = 72,003,672,225
  5. Step 5: Solve for x
    x = 72,003,672,225/180,630
  6. Step 6: Final answer
    x = 398,625.21

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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.