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Finding the Third Proportional to 156,413 and 340,762

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Solution

The third proportional to 156,413 and 340,762 is: 742,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,413 : 340,762 = 340,762 : x
  2. Step 2: Convert to fraction form
    156,413/340,762 = 340,762/x
  3. Step 3: Cross multiply
    156,413x = 340,762 × 340,762
  4. Step 4: Simplify right side
    156,413x = 116,118,740,644
  5. Step 5: Solve for x
    x = 116,118,740,644/156,413
  6. Step 6: Final answer
    x = 742,385.48

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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.