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Finding the Third Proportional to 156,374.30 and 340,815.09

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Solution

The third proportional to 156,374.30 and 340,815.09 is: 742,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,374.30 : 340,815.09 = 340,815.09 : x
  2. Step 2: Convert to fraction form
    156,374.30/340,815.09 = 340,815.09/x
  3. Step 3: Cross multiply
    156,374.30x = 340,815.09 × 340,815.09
  4. Step 4: Simplify right side
    156,374.30x = 116,154,928,127.82
  5. Step 5: Solve for x
    x = 116,154,928,127.82/156,374.30
  6. Step 6: Final answer
    x = 742,800.64

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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.