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Finding the Third Proportional to 260,438 and 528,120

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Solution

The third proportional to 260,438 and 528,120 is: 1,070,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,438 : 528,120 = 528,120 : x
  2. Step 2: Convert to fraction form
    260,438/528,120 = 528,120/x
  3. Step 3: Cross multiply
    260,438x = 528,120 × 528,120
  4. Step 4: Simplify right side
    260,438x = 278,910,734,400
  5. Step 5: Solve for x
    x = 278,910,734,400/260,438
  6. Step 6: Final answer
    x = 1,070,929.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.