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Finding the Third Proportional to 117,820 and 178,446

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Solution

The third proportional to 117,820 and 178,446 is: 270,267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,820 : 178,446 = 178,446 : x
  2. Step 2: Convert to fraction form
    117,820/178,446 = 178,446/x
  3. Step 3: Cross multiply
    117,820x = 178,446 × 178,446
  4. Step 4: Simplify right side
    117,820x = 31,842,974,916
  5. Step 5: Solve for x
    x = 31,842,974,916/117,820
  6. Step 6: Final answer
    x = 270,267.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.