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Finding the Third Proportional to 131,674 and 291,819

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Solution

The third proportional to 131,674 and 291,819 is: 646,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,674 : 291,819 = 291,819 : x
  2. Step 2: Convert to fraction form
    131,674/291,819 = 291,819/x
  3. Step 3: Cross multiply
    131,674x = 291,819 × 291,819
  4. Step 4: Simplify right side
    131,674x = 85,158,328,761
  5. Step 5: Solve for x
    x = 85,158,328,761/131,674
  6. Step 6: Final answer
    x = 646,736.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.