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Finding the Third Proportional to 55,453 and 119,209

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Solution

The third proportional to 55,453 and 119,209 is: 256,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,453 : 119,209 = 119,209 : x
  2. Step 2: Convert to fraction form
    55,453/119,209 = 119,209/x
  3. Step 3: Cross multiply
    55,453x = 119,209 × 119,209
  4. Step 4: Simplify right side
    55,453x = 14,210,785,681
  5. Step 5: Solve for x
    x = 14,210,785,681/55,453
  6. Step 6: Final answer
    x = 256,267.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.