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Finding the Third Proportional to 115,496,380 and 256,815,884

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Solution

The third proportional to 115,496,380 and 256,815,884 is: 571,051,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,496,380 : 256,815,884 = 256,815,884 : x
  2. Step 2: Convert to fraction form
    115,496,380/256,815,884 = 256,815,884/x
  3. Step 3: Cross multiply
    115,496,380x = 256,815,884 × 256,815,884
  4. Step 4: Simplify right side
    115,496,380x = 65,954,398,274,701,456
  5. Step 5: Solve for x
    x = 65,954,398,274,701,456/115,496,380
  6. Step 6: Final answer
    x = 571,051,649.19

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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.