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Finding the Third Proportional to 55,310 and 119,260

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Solution

The third proportional to 55,310 and 119,260 is: 257,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,310 : 119,260 = 119,260 : x
  2. Step 2: Convert to fraction form
    55,310/119,260 = 119,260/x
  3. Step 3: Cross multiply
    55,310x = 119,260 × 119,260
  4. Step 4: Simplify right side
    55,310x = 14,222,947,600
  5. Step 5: Solve for x
    x = 14,222,947,600/55,310
  6. Step 6: Final answer
    x = 257,149.66

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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.