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Finding the Third Proportional to 546,480 and 1,120,176

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Solution

The third proportional to 546,480 and 1,120,176 is: 2,296,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,480 : 1,120,176 = 1,120,176 : x
  2. Step 2: Convert to fraction form
    546,480/1,120,176 = 1,120,176/x
  3. Step 3: Cross multiply
    546,480x = 1,120,176 × 1,120,176
  4. Step 4: Simplify right side
    546,480x = 1,254,794,270,976
  5. Step 5: Solve for x
    x = 1,254,794,270,976/546,480
  6. Step 6: Final answer
    x = 2,296,139.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.