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Finding the Third Proportional to 55,402 and 120,959

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Solution

The third proportional to 55,402 and 120,959 is: 264,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,402 : 120,959 = 120,959 : x
  2. Step 2: Convert to fraction form
    55,402/120,959 = 120,959/x
  3. Step 3: Cross multiply
    55,402x = 120,959 × 120,959
  4. Step 4: Simplify right side
    55,402x = 14,631,079,681
  5. Step 5: Solve for x
    x = 14,631,079,681/55,402
  6. Step 6: Final answer
    x = 264,089.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.