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Finding the Third Proportional to 215,349 and 502,977

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Solution

The third proportional to 215,349 and 502,977 is: 1,174,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,349 : 502,977 = 502,977 : x
  2. Step 2: Convert to fraction form
    215,349/502,977 = 502,977/x
  3. Step 3: Cross multiply
    215,349x = 502,977 × 502,977
  4. Step 4: Simplify right side
    215,349x = 252,985,862,529
  5. Step 5: Solve for x
    x = 252,985,862,529/215,349
  6. Step 6: Final answer
    x = 1,174,771.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.