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Finding the Third Proportional to 156,129.75 and 334,395

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Solution

The third proportional to 156,129.75 and 334,395 is: 716,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,129.75 : 334,395 = 334,395 : x
  2. Step 2: Convert to fraction form
    156,129.75/334,395 = 334,395/x
  3. Step 3: Cross multiply
    156,129.75x = 334,395 × 334,395
  4. Step 4: Simplify right side
    156,129.75x = 111,820,016,025
  5. Step 5: Solve for x
    x = 111,820,016,025/156,129.75
  6. Step 6: Final answer
    x = 716,199.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.