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Finding the Third Proportional to 202,130 and 415,916

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Solution

The third proportional to 202,130 and 415,916 is: 855,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,130 : 415,916 = 415,916 : x
  2. Step 2: Convert to fraction form
    202,130/415,916 = 415,916/x
  3. Step 3: Cross multiply
    202,130x = 415,916 × 415,916
  4. Step 4: Simplify right side
    202,130x = 172,986,119,056
  5. Step 5: Solve for x
    x = 172,986,119,056/202,130
  6. Step 6: Final answer
    x = 855,816.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.