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Finding the Third Proportional to 120,690 and 260,802

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Solution

The third proportional to 120,690 and 260,802 is: 563,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,690 : 260,802 = 260,802 : x
  2. Step 2: Convert to fraction form
    120,690/260,802 = 260,802/x
  3. Step 3: Cross multiply
    120,690x = 260,802 × 260,802
  4. Step 4: Simplify right side
    120,690x = 68,017,683,204
  5. Step 5: Solve for x
    x = 68,017,683,204/120,690
  6. Step 6: Final answer
    x = 563,573.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.