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Finding the Third Proportional to 258,454.71 and 376,245.16

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Solution

The third proportional to 258,454.71 and 376,245.16 is: 547,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,454.71 : 376,245.16 = 376,245.16 : x
  2. Step 2: Convert to fraction form
    258,454.71/376,245.16 = 376,245.16/x
  3. Step 3: Cross multiply
    258,454.71x = 376,245.16 × 376,245.16
  4. Step 4: Simplify right side
    258,454.71x = 141,560,419,071.29
  5. Step 5: Solve for x
    x = 141,560,419,071.29/258,454.71
  6. Step 6: Final answer
    x = 547,718.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.