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Finding the Third Proportional to 260,044 and 388,350

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Solution

The third proportional to 260,044 and 388,350 is: 579,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,044 : 388,350 = 388,350 : x
  2. Step 2: Convert to fraction form
    260,044/388,350 = 388,350/x
  3. Step 3: Cross multiply
    260,044x = 388,350 × 388,350
  4. Step 4: Simplify right side
    260,044x = 150,815,722,500
  5. Step 5: Solve for x
    x = 150,815,722,500/260,044
  6. Step 6: Final answer
    x = 579,962.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.