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Finding the Third Proportional to 238,872 and 515,040

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Solution

The third proportional to 238,872 and 515,040 is: 1,110,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,872 : 515,040 = 515,040 : x
  2. Step 2: Convert to fraction form
    238,872/515,040 = 515,040/x
  3. Step 3: Cross multiply
    238,872x = 515,040 × 515,040
  4. Step 4: Simplify right side
    238,872x = 265,266,201,600
  5. Step 5: Solve for x
    x = 265,266,201,600/238,872
  6. Step 6: Final answer
    x = 1,110,495.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.