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Finding the Third Proportional to 257,720 and 362,928

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Solution

The third proportional to 257,720 and 362,928 is: 511,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,720 : 362,928 = 362,928 : x
  2. Step 2: Convert to fraction form
    257,720/362,928 = 362,928/x
  3. Step 3: Cross multiply
    257,720x = 362,928 × 362,928
  4. Step 4: Simplify right side
    257,720x = 131,716,733,184
  5. Step 5: Solve for x
    x = 131,716,733,184/257,720
  6. Step 6: Final answer
    x = 511,084.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.