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Finding the Third Proportional to 145,911.75 and 319,503

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Solution

The third proportional to 145,911.75 and 319,503 is: 699,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,911.75 : 319,503 = 319,503 : x
  2. Step 2: Convert to fraction form
    145,911.75/319,503 = 319,503/x
  3. Step 3: Cross multiply
    145,911.75x = 319,503 × 319,503
  4. Step 4: Simplify right side
    145,911.75x = 102,082,167,009
  5. Step 5: Solve for x
    x = 102,082,167,009/145,911.75
  6. Step 6: Final answer
    x = 699,615.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.