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Finding the Third Proportional to 52,083 and 56,457

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Solution

The third proportional to 52,083 and 56,457 is: 61,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,083 : 56,457 = 56,457 : x
  2. Step 2: Convert to fraction form
    52,083/56,457 = 56,457/x
  3. Step 3: Cross multiply
    52,083x = 56,457 × 56,457
  4. Step 4: Simplify right side
    52,083x = 3,187,392,849
  5. Step 5: Solve for x
    x = 3,187,392,849/52,083
  6. Step 6: Final answer
    x = 61,198.33

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.