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Finding the Third Proportional to 69,457 and 150,830

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Solution

The third proportional to 69,457 and 150,830 is: 327,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,457 : 150,830 = 150,830 : x
  2. Step 2: Convert to fraction form
    69,457/150,830 = 150,830/x
  3. Step 3: Cross multiply
    69,457x = 150,830 × 150,830
  4. Step 4: Simplify right side
    69,457x = 22,749,688,900
  5. Step 5: Solve for x
    x = 22,749,688,900/69,457
  6. Step 6: Final answer
    x = 327,536.30

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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.