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Finding the Third Proportional to 260,240 and 602,420

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Solution

The third proportional to 260,240 and 602,420 is: 1,394,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,240 : 602,420 = 602,420 : x
  2. Step 2: Convert to fraction form
    260,240/602,420 = 602,420/x
  3. Step 3: Cross multiply
    260,240x = 602,420 × 602,420
  4. Step 4: Simplify right side
    260,240x = 362,909,856,400
  5. Step 5: Solve for x
    x = 362,909,856,400/260,240
  6. Step 6: Final answer
    x = 1,394,519.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.