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Finding the Third Proportional to 2,457 and 6,378.75

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Solution

The third proportional to 2,457 and 6,378.75 is: 16,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457 : 6,378.75 = 6,378.75 : x
  2. Step 2: Convert to fraction form
    2,457/6,378.75 = 6,378.75/x
  3. Step 3: Cross multiply
    2,457x = 6,378.75 × 6,378.75
  4. Step 4: Simplify right side
    2,457x = 40,688,451.56
  5. Step 5: Solve for x
    x = 40,688,451.56/2,457
  6. Step 6: Final answer
    x = 16,560.22

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.