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Finding the Third Proportional to 258,139 and 378,742

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Solution

The third proportional to 258,139 and 378,742 is: 555,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,139 : 378,742 = 378,742 : x
  2. Step 2: Convert to fraction form
    258,139/378,742 = 378,742/x
  3. Step 3: Cross multiply
    258,139x = 378,742 × 378,742
  4. Step 4: Simplify right side
    258,139x = 143,445,502,564
  5. Step 5: Solve for x
    x = 143,445,502,564/258,139
  6. Step 6: Final answer
    x = 555,690.94

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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.