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Finding the Third Proportional to 83,574 and 178,803

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Solution

The third proportional to 83,574 and 178,803 is: 382,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574 : 178,803 = 178,803 : x
  2. Step 2: Convert to fraction form
    83,574/178,803 = 178,803/x
  3. Step 3: Cross multiply
    83,574x = 178,803 × 178,803
  4. Step 4: Simplify right side
    83,574x = 31,970,512,809
  5. Step 5: Solve for x
    x = 31,970,512,809/83,574
  6. Step 6: Final answer
    x = 382,541.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.