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Finding the Third Proportional to 288,616 and 421,752

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Solution

The third proportional to 288,616 and 421,752 is: 616,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,616 : 421,752 = 421,752 : x
  2. Step 2: Convert to fraction form
    288,616/421,752 = 421,752/x
  3. Step 3: Cross multiply
    288,616x = 421,752 × 421,752
  4. Step 4: Simplify right side
    288,616x = 177,874,749,504
  5. Step 5: Solve for x
    x = 177,874,749,504/288,616
  6. Step 6: Final answer
    x = 616,302.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.