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Finding the Third Proportional to 156,129 and 340,545

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Solution

The third proportional to 156,129 and 340,545 is: 742,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,129 : 340,545 = 340,545 : x
  2. Step 2: Convert to fraction form
    156,129/340,545 = 340,545/x
  3. Step 3: Cross multiply
    156,129x = 340,545 × 340,545
  4. Step 4: Simplify right side
    156,129x = 115,970,897,025
  5. Step 5: Solve for x
    x = 115,970,897,025/156,129
  6. Step 6: Final answer
    x = 742,788.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.