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Finding the Third Proportional to 259,320 and 379,638

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Solution

The third proportional to 259,320 and 379,638 is: 555,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,320 : 379,638 = 379,638 : x
  2. Step 2: Convert to fraction form
    259,320/379,638 = 379,638/x
  3. Step 3: Cross multiply
    259,320x = 379,638 × 379,638
  4. Step 4: Simplify right side
    259,320x = 144,125,011,044
  5. Step 5: Solve for x
    x = 144,125,011,044/259,320
  6. Step 6: Final answer
    x = 555,780.55

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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.