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Finding the Third Proportional to 84,914 and 178,090

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Solution

The third proportional to 84,914 and 178,090 is: 373,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,914 : 178,090 = 178,090 : x
  2. Step 2: Convert to fraction form
    84,914/178,090 = 178,090/x
  3. Step 3: Cross multiply
    84,914x = 178,090 × 178,090
  4. Step 4: Simplify right side
    84,914x = 31,716,048,100
  5. Step 5: Solve for x
    x = 31,716,048,100/84,914
  6. Step 6: Final answer
    x = 373,507.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.