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Finding the Third Proportional to 120,765 and 262,275

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Solution

The third proportional to 120,765 and 262,275 is: 569,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,765 : 262,275 = 262,275 : x
  2. Step 2: Convert to fraction form
    120,765/262,275 = 262,275/x
  3. Step 3: Cross multiply
    120,765x = 262,275 × 262,275
  4. Step 4: Simplify right side
    120,765x = 68,788,175,625
  5. Step 5: Solve for x
    x = 68,788,175,625/120,765
  6. Step 6: Final answer
    x = 569,603.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.