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Finding the Third Proportional to 490,623,120 and 1,080,798,480

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Solution

The third proportional to 490,623,120 and 1,080,798,480 is: 2,380,901,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,623,120 : 1,080,798,480 = 1,080,798,480 : x
  2. Step 2: Convert to fraction form
    490,623,120/1,080,798,480 = 1,080,798,480/x
  3. Step 3: Cross multiply
    490,623,120x = 1,080,798,480 × 1,080,798,480
  4. Step 4: Simplify right side
    490,623,120x = 1,168,125,354,370,310,400
  5. Step 5: Solve for x
    x = 1,168,125,354,370,310,400/490,623,120
  6. Step 6: Final answer
    x = 2,380,901,565.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.