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Finding the Third Proportional to 55,689 and 120,072

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Solution

The third proportional to 55,689 and 120,072 is: 258,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,689 : 120,072 = 120,072 : x
  2. Step 2: Convert to fraction form
    55,689/120,072 = 120,072/x
  3. Step 3: Cross multiply
    55,689x = 120,072 × 120,072
  4. Step 4: Simplify right side
    55,689x = 14,417,285,184
  5. Step 5: Solve for x
    x = 14,417,285,184/55,689
  6. Step 6: Final answer
    x = 258,889.28

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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.