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Finding the Third Proportional to 84,294 and 178,470

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Solution

The third proportional to 84,294 and 178,470 is: 377,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,294 : 178,470 = 178,470 : x
  2. Step 2: Convert to fraction form
    84,294/178,470 = 178,470/x
  3. Step 3: Cross multiply
    84,294x = 178,470 × 178,470
  4. Step 4: Simplify right side
    84,294x = 31,851,540,900
  5. Step 5: Solve for x
    x = 31,851,540,900/84,294
  6. Step 6: Final answer
    x = 377,862.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.