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Finding the Third Proportional to 256,415,751 and 397,290,487.50

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Solution

The third proportional to 256,415,751 and 397,290,487.50 is: 615,561,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,415,751 : 397,290,487.50 = 397,290,487.50 : x
  2. Step 2: Convert to fraction form
    256,415,751/397,290,487.50 = 397,290,487.50/x
  3. Step 3: Cross multiply
    256,415,751x = 397,290,487.50 × 397,290,487.50
  4. Step 4: Simplify right side
    256,415,751x = 157,839,731,457,987,648
  5. Step 5: Solve for x
    x = 157,839,731,457,987,648/256,415,751
  6. Step 6: Final answer
    x = 615,561,761.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.