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Finding the Third Proportional to 57,781,716 and 128,021,951.25

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Solution

The third proportional to 57,781,716 and 128,021,951.25 is: 283,647,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781,716 : 128,021,951.25 = 128,021,951.25 : x
  2. Step 2: Convert to fraction form
    57,781,716/128,021,951.25 = 128,021,951.25/x
  3. Step 3: Cross multiply
    57,781,716x = 128,021,951.25 × 128,021,951.25
  4. Step 4: Simplify right side
    57,781,716x = 16,389,620,001,857,376
  5. Step 5: Solve for x
    x = 16,389,620,001,857,376/57,781,716
  6. Step 6: Final answer
    x = 283,647,166.20

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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.