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Finding the Third Proportional to 181,515 and 253,885.50

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Solution

The third proportional to 181,515 and 253,885.50 is: 355,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,515 : 253,885.50 = 253,885.50 : x
  2. Step 2: Convert to fraction form
    181,515/253,885.50 = 253,885.50/x
  3. Step 3: Cross multiply
    181,515x = 253,885.50 × 253,885.50
  4. Step 4: Simplify right side
    181,515x = 64,457,847,110.25
  5. Step 5: Solve for x
    x = 64,457,847,110.25/181,515
  6. Step 6: Final answer
    x = 355,110.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.