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Finding the Third Proportional to 256,957,926 and 380,770,515

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Solution

The third proportional to 256,957,926 and 380,770,515 is: 564,240,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,957,926 : 380,770,515 = 380,770,515 : x
  2. Step 2: Convert to fraction form
    256,957,926/380,770,515 = 380,770,515/x
  3. Step 3: Cross multiply
    256,957,926x = 380,770,515 × 380,770,515
  4. Step 4: Simplify right side
    256,957,926x = 144,986,185,093,365,216
  5. Step 5: Solve for x
    x = 144,986,185,093,365,216/256,957,926
  6. Step 6: Final answer
    x = 564,240,953.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.