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Finding the Third Proportional to 81,030 and 168,513

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Solution

The third proportional to 81,030 and 168,513 is: 350,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,030 : 168,513 = 168,513 : x
  2. Step 2: Convert to fraction form
    81,030/168,513 = 168,513/x
  3. Step 3: Cross multiply
    81,030x = 168,513 × 168,513
  4. Step 4: Simplify right side
    81,030x = 28,396,631,169
  5. Step 5: Solve for x
    x = 28,396,631,169/81,030
  6. Step 6: Final answer
    x = 350,445.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.