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Finding the Third Proportional to 138,636 and 207,030

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Solution

The third proportional to 138,636 and 207,030 is: 309,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,636 : 207,030 = 207,030 : x
  2. Step 2: Convert to fraction form
    138,636/207,030 = 207,030/x
  3. Step 3: Cross multiply
    138,636x = 207,030 × 207,030
  4. Step 4: Simplify right side
    138,636x = 42,861,420,900
  5. Step 5: Solve for x
    x = 42,861,420,900/138,636
  6. Step 6: Final answer
    x = 309,165.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.