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Finding the Third Proportional to 156,426 and 342,255

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Solution

The third proportional to 156,426 and 342,255 is: 748,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,426 : 342,255 = 342,255 : x
  2. Step 2: Convert to fraction form
    156,426/342,255 = 342,255/x
  3. Step 3: Cross multiply
    156,426x = 342,255 × 342,255
  4. Step 4: Simplify right side
    156,426x = 117,138,485,025
  5. Step 5: Solve for x
    x = 117,138,485,025/156,426
  6. Step 6: Final answer
    x = 748,842.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.