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Finding the Third Proportional to 162,783 and 248,857.50

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Solution

The third proportional to 162,783 and 248,857.50 is: 380,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,783 : 248,857.50 = 248,857.50 : x
  2. Step 2: Convert to fraction form
    162,783/248,857.50 = 248,857.50/x
  3. Step 3: Cross multiply
    162,783x = 248,857.50 × 248,857.50
  4. Step 4: Simplify right side
    162,783x = 61,930,055,306.25
  5. Step 5: Solve for x
    x = 61,930,055,306.25/162,783
  6. Step 6: Final answer
    x = 380,445.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.