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Finding the Third Proportional to 156,430 and 340,796

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Solution

The third proportional to 156,430 and 340,796 is: 742,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,430 : 340,796 = 340,796 : x
  2. Step 2: Convert to fraction form
    156,430/340,796 = 340,796/x
  3. Step 3: Cross multiply
    156,430x = 340,796 × 340,796
  4. Step 4: Simplify right side
    156,430x = 116,141,913,616
  5. Step 5: Solve for x
    x = 116,141,913,616/156,430
  6. Step 6: Final answer
    x = 742,452.94

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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.