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Finding the Third Proportional to 55,503 and 119,871

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Solution

The third proportional to 55,503 and 119,871 is: 258,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,503 : 119,871 = 119,871 : x
  2. Step 2: Convert to fraction form
    55,503/119,871 = 119,871/x
  3. Step 3: Cross multiply
    55,503x = 119,871 × 119,871
  4. Step 4: Simplify right side
    55,503x = 14,369,056,641
  5. Step 5: Solve for x
    x = 14,369,056,641/55,503
  6. Step 6: Final answer
    x = 258,887.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.