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Finding the Third Proportional to 2,856.94 and 4,430.53

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Solution

The third proportional to 2,856.94 and 4,430.53 is: 6,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.94 : 4,430.53 = 4,430.53 : x
  2. Step 2: Convert to fraction form
    2,856.94/4,430.53 = 4,430.53/x
  3. Step 3: Cross multiply
    2,856.94x = 4,430.53 × 4,430.53
  4. Step 4: Simplify right side
    2,856.94x = 19,629,607.16
  5. Step 5: Solve for x
    x = 19,629,607.16/2,856.94
  6. Step 6: Final answer
    x = 6,870.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.