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Finding the Third Proportional to 218,153,268 and 484,733,480

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Solution

The third proportional to 218,153,268 and 484,733,480 is: 1,077,070,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,153,268 : 484,733,480 = 484,733,480 : x
  2. Step 2: Convert to fraction form
    218,153,268/484,733,480 = 484,733,480/x
  3. Step 3: Cross multiply
    218,153,268x = 484,733,480 × 484,733,480
  4. Step 4: Simplify right side
    218,153,268x = 234,966,546,632,910,400
  5. Step 5: Solve for x
    x = 234,966,546,632,910,400/218,153,268
  6. Step 6: Final answer
    x = 1,077,070,945.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.