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Finding the Third Proportional to 111,232.50 and 239,962.50

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Solution

The third proportional to 111,232.50 and 239,962.50 is: 517,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,232.50 : 239,962.50 = 239,962.50 : x
  2. Step 2: Convert to fraction form
    111,232.50/239,962.50 = 239,962.50/x
  3. Step 3: Cross multiply
    111,232.50x = 239,962.50 × 239,962.50
  4. Step 4: Simplify right side
    111,232.50x = 57,582,001,406.25
  5. Step 5: Solve for x
    x = 57,582,001,406.25/111,232.50
  6. Step 6: Final answer
    x = 517,672.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.