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Finding the Third Proportional to 54,640 and 119,209

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Solution

The third proportional to 54,640 and 119,209 is: 260,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,640 : 119,209 = 119,209 : x
  2. Step 2: Convert to fraction form
    54,640/119,209 = 119,209/x
  3. Step 3: Cross multiply
    54,640x = 119,209 × 119,209
  4. Step 4: Simplify right side
    54,640x = 14,210,785,681
  5. Step 5: Solve for x
    x = 14,210,785,681/54,640
  6. Step 6: Final answer
    x = 260,080.27

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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.