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Finding the Third Proportional to 178,891 and 278,056

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Solution

The third proportional to 178,891 and 278,056 is: 432,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,891 : 278,056 = 278,056 : x
  2. Step 2: Convert to fraction form
    178,891/278,056 = 278,056/x
  3. Step 3: Cross multiply
    178,891x = 278,056 × 278,056
  4. Step 4: Simplify right side
    178,891x = 77,315,139,136
  5. Step 5: Solve for x
    x = 77,315,139,136/178,891
  6. Step 6: Final answer
    x = 432,191.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.