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Finding the Third Proportional to 258,426 and 379,134

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Solution

The third proportional to 258,426 and 379,134 is: 556,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,426 : 379,134 = 379,134 : x
  2. Step 2: Convert to fraction form
    258,426/379,134 = 379,134/x
  3. Step 3: Cross multiply
    258,426x = 379,134 × 379,134
  4. Step 4: Simplify right side
    258,426x = 143,742,589,956
  5. Step 5: Solve for x
    x = 143,742,589,956/258,426
  6. Step 6: Final answer
    x = 556,223.41

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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.