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Finding the Third Proportional to 251,294 and 388,611

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Solution

The third proportional to 251,294 and 388,611 is: 600,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,294 : 388,611 = 388,611 : x
  2. Step 2: Convert to fraction form
    251,294/388,611 = 388,611/x
  3. Step 3: Cross multiply
    251,294x = 388,611 × 388,611
  4. Step 4: Simplify right side
    251,294x = 151,018,509,321
  5. Step 5: Solve for x
    x = 151,018,509,321/251,294
  6. Step 6: Final answer
    x = 600,963.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.