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Finding the Third Proportional to 68,400 and 100,237.50

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Solution

The third proportional to 68,400 and 100,237.50 is: 146,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,400 : 100,237.50 = 100,237.50 : x
  2. Step 2: Convert to fraction form
    68,400/100,237.50 = 100,237.50/x
  3. Step 3: Cross multiply
    68,400x = 100,237.50 × 100,237.50
  4. Step 4: Simplify right side
    68,400x = 10,047,556,406.25
  5. Step 5: Solve for x
    x = 10,047,556,406.25/68,400
  6. Step 6: Final answer
    x = 146,894.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.