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Finding the Third Proportional to 134,077 and 213,418

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Solution

The third proportional to 134,077 and 213,418 is: 339,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,077 : 213,418 = 213,418 : x
  2. Step 2: Convert to fraction form
    134,077/213,418 = 213,418/x
  3. Step 3: Cross multiply
    134,077x = 213,418 × 213,418
  4. Step 4: Simplify right side
    134,077x = 45,547,242,724
  5. Step 5: Solve for x
    x = 45,547,242,724/134,077
  6. Step 6: Final answer
    x = 339,709.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.