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Finding the Third Proportional to 101,871 and 221,256.75

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Solution

The third proportional to 101,871 and 221,256.75 is: 480,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,871 : 221,256.75 = 221,256.75 : x
  2. Step 2: Convert to fraction form
    101,871/221,256.75 = 221,256.75/x
  3. Step 3: Cross multiply
    101,871x = 221,256.75 × 221,256.75
  4. Step 4: Simplify right side
    101,871x = 48,954,549,420.56
  5. Step 5: Solve for x
    x = 48,954,549,420.56/101,871
  6. Step 6: Final answer
    x = 480,554.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.