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Finding the Third Proportional to 138,411 and 302,670

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Solution

The third proportional to 138,411 and 302,670 is: 661,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411 : 302,670 = 302,670 : x
  2. Step 2: Convert to fraction form
    138,411/302,670 = 302,670/x
  3. Step 3: Cross multiply
    138,411x = 302,670 × 302,670
  4. Step 4: Simplify right side
    138,411x = 91,609,128,900
  5. Step 5: Solve for x
    x = 91,609,128,900/138,411
  6. Step 6: Final answer
    x = 661,863.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.