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Finding the Third Proportional to 260,448 and 528,140

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Solution

The third proportional to 260,448 and 528,140 is: 1,070,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,448 : 528,140 = 528,140 : x
  2. Step 2: Convert to fraction form
    260,448/528,140 = 528,140/x
  3. Step 3: Cross multiply
    260,448x = 528,140 × 528,140
  4. Step 4: Simplify right side
    260,448x = 278,931,859,600
  5. Step 5: Solve for x
    x = 278,931,859,600/260,448
  6. Step 6: Final answer
    x = 1,070,969.48

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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.