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Finding the Third Proportional to 251,282 and 388,588

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Solution

The third proportional to 251,282 and 388,588 is: 600,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,282 : 388,588 = 388,588 : x
  2. Step 2: Convert to fraction form
    251,282/388,588 = 388,588/x
  3. Step 3: Cross multiply
    251,282x = 388,588 × 388,588
  4. Step 4: Simplify right side
    251,282x = 151,000,633,744
  5. Step 5: Solve for x
    x = 151,000,633,744/251,282
  6. Step 6: Final answer
    x = 600,921.01

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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.