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Finding the Third Proportional to 259,645 and 539,929

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Solution

The third proportional to 259,645 and 539,929 is: 1,122,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,645 : 539,929 = 539,929 : x
  2. Step 2: Convert to fraction form
    259,645/539,929 = 539,929/x
  3. Step 3: Cross multiply
    259,645x = 539,929 × 539,929
  4. Step 4: Simplify right side
    259,645x = 291,523,325,041
  5. Step 5: Solve for x
    x = 291,523,325,041/259,645
  6. Step 6: Final answer
    x = 1,122,776.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.