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Finding the Third Proportional to 156,411 and 340,758

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Solution

The third proportional to 156,411 and 340,758 is: 742,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,411 : 340,758 = 340,758 : x
  2. Step 2: Convert to fraction form
    156,411/340,758 = 340,758/x
  3. Step 3: Cross multiply
    156,411x = 340,758 × 340,758
  4. Step 4: Simplify right side
    156,411x = 116,116,014,564
  5. Step 5: Solve for x
    x = 116,116,014,564/156,411
  6. Step 6: Final answer
    x = 742,377.55

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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.