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Finding the Third Proportional to 561,480 and 863,904

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Solution

The third proportional to 561,480 and 863,904 is: 1,329,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,480 : 863,904 = 863,904 : x
  2. Step 2: Convert to fraction form
    561,480/863,904 = 863,904/x
  3. Step 3: Cross multiply
    561,480x = 863,904 × 863,904
  4. Step 4: Simplify right side
    561,480x = 746,330,121,216
  5. Step 5: Solve for x
    x = 746,330,121,216/561,480
  6. Step 6: Final answer
    x = 1,329,219.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.