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Finding the Third Proportional to 134,114 and 279,139

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Solution

The third proportional to 134,114 and 279,139 is: 580,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,114 : 279,139 = 279,139 : x
  2. Step 2: Convert to fraction form
    134,114/279,139 = 279,139/x
  3. Step 3: Cross multiply
    134,114x = 279,139 × 279,139
  4. Step 4: Simplify right side
    134,114x = 77,918,581,321
  5. Step 5: Solve for x
    x = 77,918,581,321/134,114
  6. Step 6: Final answer
    x = 580,987.68

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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.