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Finding the Third Proportional to 50,075 and 77,987

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Solution

The third proportional to 50,075 and 77,987 is: 121,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,075 : 77,987 = 77,987 : x
  2. Step 2: Convert to fraction form
    50,075/77,987 = 77,987/x
  3. Step 3: Cross multiply
    50,075x = 77,987 × 77,987
  4. Step 4: Simplify right side
    50,075x = 6,081,972,169
  5. Step 5: Solve for x
    x = 6,081,972,169/50,075
  6. Step 6: Final answer
    x = 121,457.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.