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Finding the Third Proportional to 361,128 and 561,798

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Solution

The third proportional to 361,128 and 561,798 is: 873,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,128 : 561,798 = 561,798 : x
  2. Step 2: Convert to fraction form
    361,128/561,798 = 561,798/x
  3. Step 3: Cross multiply
    361,128x = 561,798 × 561,798
  4. Step 4: Simplify right side
    361,128x = 315,616,992,804
  5. Step 5: Solve for x
    x = 315,616,992,804/361,128
  6. Step 6: Final answer
    x = 873,975.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.