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Finding the Third Proportional to 128,345,323 and 280,209,638

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Solution

The third proportional to 128,345,323 and 280,209,638 is: 611,767,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,345,323 : 280,209,638 = 280,209,638 : x
  2. Step 2: Convert to fraction form
    128,345,323/280,209,638 = 280,209,638/x
  3. Step 3: Cross multiply
    128,345,323x = 280,209,638 × 280,209,638
  4. Step 4: Simplify right side
    128,345,323x = 78,517,441,228,091,040
  5. Step 5: Solve for x
    x = 78,517,441,228,091,040/128,345,323
  6. Step 6: Final answer
    x = 611,767,062.43

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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.