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Finding the Third Proportional to 103,520 and 221,985

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Solution

The third proportional to 103,520 and 221,985 is: 476,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,520 : 221,985 = 221,985 : x
  2. Step 2: Convert to fraction form
    103,520/221,985 = 221,985/x
  3. Step 3: Cross multiply
    103,520x = 221,985 × 221,985
  4. Step 4: Simplify right side
    103,520x = 49,277,340,225
  5. Step 5: Solve for x
    x = 49,277,340,225/103,520
  6. Step 6: Final answer
    x = 476,017.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.