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Finding the Third Proportional to 72,907.50 and 158,991

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Solution

The third proportional to 72,907.50 and 158,991 is: 346,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,907.50 : 158,991 = 158,991 : x
  2. Step 2: Convert to fraction form
    72,907.50/158,991 = 158,991/x
  3. Step 3: Cross multiply
    72,907.50x = 158,991 × 158,991
  4. Step 4: Simplify right side
    72,907.50x = 25,278,138,081
  5. Step 5: Solve for x
    x = 25,278,138,081/72,907.50
  6. Step 6: Final answer
    x = 346,715.20

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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.