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Finding the Third Proportional to 318,444 and 464,538

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Solution

The third proportional to 318,444 and 464,538 is: 677,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,444 : 464,538 = 464,538 : x
  2. Step 2: Convert to fraction form
    318,444/464,538 = 464,538/x
  3. Step 3: Cross multiply
    318,444x = 464,538 × 464,538
  4. Step 4: Simplify right side
    318,444x = 215,795,553,444
  5. Step 5: Solve for x
    x = 215,795,553,444/318,444
  6. Step 6: Final answer
    x = 677,656.21

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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.