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Finding the Third Proportional to 28,920 and 63,888

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Solution

The third proportional to 28,920 and 63,888 is: 141,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,920 : 63,888 = 63,888 : x
  2. Step 2: Convert to fraction form
    28,920/63,888 = 63,888/x
  3. Step 3: Cross multiply
    28,920x = 63,888 × 63,888
  4. Step 4: Simplify right side
    28,920x = 4,081,676,544
  5. Step 5: Solve for x
    x = 4,081,676,544/28,920
  6. Step 6: Final answer
    x = 141,136.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.