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Finding the Third Proportional to 258,045.75 and 379,454.63

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Solution

The third proportional to 258,045.75 and 379,454.63 is: 557,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,045.75 : 379,454.63 = 379,454.63 : x
  2. Step 2: Convert to fraction form
    258,045.75/379,454.63 = 379,454.63/x
  3. Step 3: Cross multiply
    258,045.75x = 379,454.63 × 379,454.63
  4. Step 4: Simplify right side
    258,045.75x = 143,985,812,433.89
  5. Step 5: Solve for x
    x = 143,985,812,433.89/258,045.75
  6. Step 6: Final answer
    x = 557,985.60

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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.