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Finding the Third Proportional to 134,117 and 279,145

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Solution

The third proportional to 134,117 and 279,145 is: 580,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,117 : 279,145 = 279,145 : x
  2. Step 2: Convert to fraction form
    134,117/279,145 = 279,145/x
  3. Step 3: Cross multiply
    134,117x = 279,145 × 279,145
  4. Step 4: Simplify right side
    134,117x = 77,921,931,025
  5. Step 5: Solve for x
    x = 77,921,931,025/134,117
  6. Step 6: Final answer
    x = 580,999.66

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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.