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Finding the Third Proportional to 156,770 and 340,918

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Solution

The third proportional to 156,770 and 340,918 is: 741,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,770 : 340,918 = 340,918 : x
  2. Step 2: Convert to fraction form
    156,770/340,918 = 340,918/x
  3. Step 3: Cross multiply
    156,770x = 340,918 × 340,918
  4. Step 4: Simplify right side
    156,770x = 116,225,082,724
  5. Step 5: Solve for x
    x = 116,225,082,724/156,770
  6. Step 6: Final answer
    x = 741,373.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.