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Finding the Third Proportional to 89,130 and 193,629

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Solution

The third proportional to 89,130 and 193,629 is: 420,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,130 : 193,629 = 193,629 : x
  2. Step 2: Convert to fraction form
    89,130/193,629 = 193,629/x
  3. Step 3: Cross multiply
    89,130x = 193,629 × 193,629
  4. Step 4: Simplify right side
    89,130x = 37,492,189,641
  5. Step 5: Solve for x
    x = 37,492,189,641/89,130
  6. Step 6: Final answer
    x = 420,646.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.