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Finding the Third Proportional to 156,912 and 345,495

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Solution

The third proportional to 156,912 and 345,495 is: 760,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,912 : 345,495 = 345,495 : x
  2. Step 2: Convert to fraction form
    156,912/345,495 = 345,495/x
  3. Step 3: Cross multiply
    156,912x = 345,495 × 345,495
  4. Step 4: Simplify right side
    156,912x = 119,366,795,025
  5. Step 5: Solve for x
    x = 119,366,795,025/156,912
  6. Step 6: Final answer
    x = 760,724.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.