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Finding the Third Proportional to 258,165.75 and 371,830.88

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Solution

The third proportional to 258,165.75 and 371,830.88 is: 535,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,165.75 : 371,830.88 = 371,830.88 : x
  2. Step 2: Convert to fraction form
    258,165.75/371,830.88 = 371,830.88/x
  3. Step 3: Cross multiply
    258,165.75x = 371,830.88 × 371,830.88
  4. Step 4: Simplify right side
    258,165.75x = 138,258,199,603.27
  5. Step 5: Solve for x
    x = 138,258,199,603.27/258,165.75
  6. Step 6: Final answer
    x = 535,540.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.