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Finding the Third Proportional to 178,044 and 277,278

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Solution

The third proportional to 178,044 and 277,278 is: 431,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,044 : 277,278 = 277,278 : x
  2. Step 2: Convert to fraction form
    178,044/277,278 = 277,278/x
  3. Step 3: Cross multiply
    178,044x = 277,278 × 277,278
  4. Step 4: Simplify right side
    178,044x = 76,883,089,284
  5. Step 5: Solve for x
    x = 76,883,089,284/178,044
  6. Step 6: Final answer
    x = 431,820.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.