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Finding the Third Proportional to 380,538 and 500,499

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Solution

The third proportional to 380,538 and 500,499 is: 658,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,538 : 500,499 = 500,499 : x
  2. Step 2: Convert to fraction form
    380,538/500,499 = 500,499/x
  3. Step 3: Cross multiply
    380,538x = 500,499 × 500,499
  4. Step 4: Simplify right side
    380,538x = 250,499,249,001
  5. Step 5: Solve for x
    x = 250,499,249,001/380,538
  6. Step 6: Final answer
    x = 658,276.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.