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Finding the Third Proportional to 258,490 and 379,215

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Solution

The third proportional to 258,490 and 379,215 is: 556,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,490 : 379,215 = 379,215 : x
  2. Step 2: Convert to fraction form
    258,490/379,215 = 379,215/x
  3. Step 3: Cross multiply
    258,490x = 379,215 × 379,215
  4. Step 4: Simplify right side
    258,490x = 143,804,016,225
  5. Step 5: Solve for x
    x = 143,804,016,225/258,490
  6. Step 6: Final answer
    x = 556,323.32

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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.