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Finding the Third Proportional to 100,389.75 and 186,415.50

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Solution

The third proportional to 100,389.75 and 186,415.50 is: 346,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,389.75 : 186,415.50 = 186,415.50 : x
  2. Step 2: Convert to fraction form
    100,389.75/186,415.50 = 186,415.50/x
  3. Step 3: Cross multiply
    100,389.75x = 186,415.50 × 186,415.50
  4. Step 4: Simplify right side
    100,389.75x = 34,750,738,640.25
  5. Step 5: Solve for x
    x = 34,750,738,640.25/100,389.75
  6. Step 6: Final answer
    x = 346,158.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.