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Finding the Third Proportional to 120,368 and 260,824

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Solution

The third proportional to 120,368 and 260,824 is: 565,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,368 : 260,824 = 260,824 : x
  2. Step 2: Convert to fraction form
    120,368/260,824 = 260,824/x
  3. Step 3: Cross multiply
    120,368x = 260,824 × 260,824
  4. Step 4: Simplify right side
    120,368x = 68,029,158,976
  5. Step 5: Solve for x
    x = 68,029,158,976/120,368
  6. Step 6: Final answer
    x = 565,176.45

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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.