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Finding the Third Proportional to 2,978 and 4,547

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Solution

The third proportional to 2,978 and 4,547 is: 6,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 4,547 = 4,547 : x
  2. Step 2: Convert to fraction form
    2,978/4,547 = 4,547/x
  3. Step 3: Cross multiply
    2,978x = 4,547 × 4,547
  4. Step 4: Simplify right side
    2,978x = 20,675,209
  5. Step 5: Solve for x
    x = 20,675,209/2,978
  6. Step 6: Final answer
    x = 6,942.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.