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Finding the Third Proportional to 283,988 and 621,436

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Solution

The third proportional to 283,988 and 621,436 is: 1,359,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,988 : 621,436 = 621,436 : x
  2. Step 2: Convert to fraction form
    283,988/621,436 = 621,436/x
  3. Step 3: Cross multiply
    283,988x = 621,436 × 621,436
  4. Step 4: Simplify right side
    283,988x = 386,182,702,096
  5. Step 5: Solve for x
    x = 386,182,702,096/283,988
  6. Step 6: Final answer
    x = 1,359,855.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.