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Finding the Third Proportional to 388,962 and 568,539

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Solution

The third proportional to 388,962 and 568,539 is: 831,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,962 : 568,539 = 568,539 : x
  2. Step 2: Convert to fraction form
    388,962/568,539 = 568,539/x
  3. Step 3: Cross multiply
    388,962x = 568,539 × 568,539
  4. Step 4: Simplify right side
    388,962x = 323,236,594,521
  5. Step 5: Solve for x
    x = 323,236,594,521/388,962
  6. Step 6: Final answer
    x = 831,023.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.