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Finding the Third Proportional to 54,875 and 129,407

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Solution

The third proportional to 54,875 and 129,407 is: 305,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,875 : 129,407 = 129,407 : x
  2. Step 2: Convert to fraction form
    54,875/129,407 = 129,407/x
  3. Step 3: Cross multiply
    54,875x = 129,407 × 129,407
  4. Step 4: Simplify right side
    54,875x = 16,746,171,649
  5. Step 5: Solve for x
    x = 16,746,171,649/54,875
  6. Step 6: Final answer
    x = 305,169.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.