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Finding the Third Proportional to 129,168 and 288,576

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Solution

The third proportional to 129,168 and 288,576 is: 644,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,168 : 288,576 = 288,576 : x
  2. Step 2: Convert to fraction form
    129,168/288,576 = 288,576/x
  3. Step 3: Cross multiply
    129,168x = 288,576 × 288,576
  4. Step 4: Simplify right side
    129,168x = 83,276,107,776
  5. Step 5: Solve for x
    x = 83,276,107,776/129,168
  6. Step 6: Final answer
    x = 644,711.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.