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Finding the Third Proportional to 86,409.50 and 178,972.50

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Solution

The third proportional to 86,409.50 and 178,972.50 is: 370,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,409.50 : 178,972.50 = 178,972.50 : x
  2. Step 2: Convert to fraction form
    86,409.50/178,972.50 = 178,972.50/x
  3. Step 3: Cross multiply
    86,409.50x = 178,972.50 × 178,972.50
  4. Step 4: Simplify right side
    86,409.50x = 32,031,155,756.25
  5. Step 5: Solve for x
    x = 32,031,155,756.25/86,409.50
  6. Step 6: Final answer
    x = 370,690.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.