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Finding the Third Proportional to 259,584 and 379,521

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Solution

The third proportional to 259,584 and 379,521 is: 554,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,584 : 379,521 = 379,521 : x
  2. Step 2: Convert to fraction form
    259,584/379,521 = 379,521/x
  3. Step 3: Cross multiply
    259,584x = 379,521 × 379,521
  4. Step 4: Simplify right side
    259,584x = 144,036,189,441
  5. Step 5: Solve for x
    x = 144,036,189,441/259,584
  6. Step 6: Final answer
    x = 554,873.14

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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.