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Finding the Third Proportional to 156,139 and 335,959

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Solution

The third proportional to 156,139 and 335,959 is: 722,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,139 : 335,959 = 335,959 : x
  2. Step 2: Convert to fraction form
    156,139/335,959 = 335,959/x
  3. Step 3: Cross multiply
    156,139x = 335,959 × 335,959
  4. Step 4: Simplify right side
    156,139x = 112,868,449,681
  5. Step 5: Solve for x
    x = 112,868,449,681/156,139
  6. Step 6: Final answer
    x = 722,871.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.