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Finding the Third Proportional to 617,824 and 921,296

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Solution

The third proportional to 617,824 and 921,296 is: 1,373,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,824 : 921,296 = 921,296 : x
  2. Step 2: Convert to fraction form
    617,824/921,296 = 921,296/x
  3. Step 3: Cross multiply
    617,824x = 921,296 × 921,296
  4. Step 4: Simplify right side
    617,824x = 848,786,319,616
  5. Step 5: Solve for x
    x = 848,786,319,616/617,824
  6. Step 6: Final answer
    x = 1,373,831.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.