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Finding the Third Proportional to 178,888 and 278,106

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Solution

The third proportional to 178,888 and 278,106 is: 432,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,888 : 278,106 = 278,106 : x
  2. Step 2: Convert to fraction form
    178,888/278,106 = 278,106/x
  3. Step 3: Cross multiply
    178,888x = 278,106 × 278,106
  4. Step 4: Simplify right side
    178,888x = 77,342,947,236
  5. Step 5: Solve for x
    x = 77,342,947,236/178,888
  6. Step 6: Final answer
    x = 432,354.03

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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.