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Finding the Third Proportional to 120,355 and 260,798

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Solution

The third proportional to 120,355 and 260,798 is: 565,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,355 : 260,798 = 260,798 : x
  2. Step 2: Convert to fraction form
    120,355/260,798 = 260,798/x
  3. Step 3: Cross multiply
    120,355x = 260,798 × 260,798
  4. Step 4: Simplify right side
    120,355x = 68,015,596,804
  5. Step 5: Solve for x
    x = 68,015,596,804/120,355
  6. Step 6: Final answer
    x = 565,124.81

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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.