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Finding the Third Proportional to 194,430 and 278,031

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Solution

The third proportional to 194,430 and 278,031 is: 397,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,430 : 278,031 = 278,031 : x
  2. Step 2: Convert to fraction form
    194,430/278,031 = 278,031/x
  3. Step 3: Cross multiply
    194,430x = 278,031 × 278,031
  4. Step 4: Simplify right side
    194,430x = 77,301,236,961
  5. Step 5: Solve for x
    x = 77,301,236,961/194,430
  6. Step 6: Final answer
    x = 397,578.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.