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Finding the Third Proportional to 128,995,398 and 280,664,604

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Solution

The third proportional to 128,995,398 and 280,664,604 is: 610,662,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,995,398 : 280,664,604 = 280,664,604 : x
  2. Step 2: Convert to fraction form
    128,995,398/280,664,604 = 280,664,604/x
  3. Step 3: Cross multiply
    128,995,398x = 280,664,604 × 280,664,604
  4. Step 4: Simplify right side
    128,995,398x = 78,772,619,938,476,816
  5. Step 5: Solve for x
    x = 78,772,619,938,476,816/128,995,398
  6. Step 6: Final answer
    x = 610,662,249.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.