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Finding the Third Proportional to 28,780 and 62,888

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Solution

The third proportional to 28,780 and 62,888 is: 137,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,780 : 62,888 = 62,888 : x
  2. Step 2: Convert to fraction form
    28,780/62,888 = 62,888/x
  3. Step 3: Cross multiply
    28,780x = 62,888 × 62,888
  4. Step 4: Simplify right side
    28,780x = 3,954,900,544
  5. Step 5: Solve for x
    x = 3,954,900,544/28,780
  6. Step 6: Final answer
    x = 137,418.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.