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Finding the Third Proportional to 4,390 and 7,952

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Solution

The third proportional to 4,390 and 7,952 is: 14,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390 : 7,952 = 7,952 : x
  2. Step 2: Convert to fraction form
    4,390/7,952 = 7,952/x
  3. Step 3: Cross multiply
    4,390x = 7,952 × 7,952
  4. Step 4: Simplify right side
    4,390x = 63,234,304
  5. Step 5: Solve for x
    x = 63,234,304/4,390
  6. Step 6: Final answer
    x = 14,404.17

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.