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Finding the Third Proportional to 258,504 and 379,248

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Solution

The third proportional to 258,504 and 379,248 is: 556,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,504 : 379,248 = 379,248 : x
  2. Step 2: Convert to fraction form
    258,504/379,248 = 379,248/x
  3. Step 3: Cross multiply
    258,504x = 379,248 × 379,248
  4. Step 4: Simplify right side
    258,504x = 143,829,045,504
  5. Step 5: Solve for x
    x = 143,829,045,504/258,504
  6. Step 6: Final answer
    x = 556,390.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.