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Finding the Third Proportional to 145,050 and 221,743

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Solution

The third proportional to 145,050 and 221,743 is: 338,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,050 : 221,743 = 221,743 : x
  2. Step 2: Convert to fraction form
    145,050/221,743 = 221,743/x
  3. Step 3: Cross multiply
    145,050x = 221,743 × 221,743
  4. Step 4: Simplify right side
    145,050x = 49,169,958,049
  5. Step 5: Solve for x
    x = 49,169,958,049/145,050
  6. Step 6: Final answer
    x = 338,986.27

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Why These Related Problems?

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