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Finding the Third Proportional to 120,708 and 260,838

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Solution

The third proportional to 120,708 and 260,838 is: 563,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,708 : 260,838 = 260,838 : x
  2. Step 2: Convert to fraction form
    120,708/260,838 = 260,838/x
  3. Step 3: Cross multiply
    120,708x = 260,838 × 260,838
  4. Step 4: Simplify right side
    120,708x = 68,036,462,244
  5. Step 5: Solve for x
    x = 68,036,462,244/120,708
  6. Step 6: Final answer
    x = 563,645.01

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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.