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Finding the Third Proportional to 102,369.50 and 221,507

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Solution

The third proportional to 102,369.50 and 221,507 is: 479,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,369.50 : 221,507 = 221,507 : x
  2. Step 2: Convert to fraction form
    102,369.50/221,507 = 221,507/x
  3. Step 3: Cross multiply
    102,369.50x = 221,507 × 221,507
  4. Step 4: Simplify right side
    102,369.50x = 49,065,351,049
  5. Step 5: Solve for x
    x = 49,065,351,049/102,369.50
  6. Step 6: Final answer
    x = 479,296.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.