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Finding the Third Proportional to 100,897.50 and 221,476

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Solution

The third proportional to 100,897.50 and 221,476 is: 486,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,897.50 : 221,476 = 221,476 : x
  2. Step 2: Convert to fraction form
    100,897.50/221,476 = 221,476/x
  3. Step 3: Cross multiply
    100,897.50x = 221,476 × 221,476
  4. Step 4: Simplify right side
    100,897.50x = 49,051,618,576
  5. Step 5: Solve for x
    x = 49,051,618,576/100,897.50
  6. Step 6: Final answer
    x = 486,152.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.