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Finding the Third Proportional to 123,513 and 251,391

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Solution

The third proportional to 123,513 and 251,391 is: 511,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,513 : 251,391 = 251,391 : x
  2. Step 2: Convert to fraction form
    123,513/251,391 = 251,391/x
  3. Step 3: Cross multiply
    123,513x = 251,391 × 251,391
  4. Step 4: Simplify right side
    123,513x = 63,197,434,881
  5. Step 5: Solve for x
    x = 63,197,434,881/123,513
  6. Step 6: Final answer
    x = 511,666.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.