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Finding the Third Proportional to 438,513 and 959,040

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Solution

The third proportional to 438,513 and 959,040 is: 2,097,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,513 : 959,040 = 959,040 : x
  2. Step 2: Convert to fraction form
    438,513/959,040 = 959,040/x
  3. Step 3: Cross multiply
    438,513x = 959,040 × 959,040
  4. Step 4: Simplify right side
    438,513x = 919,757,721,600
  5. Step 5: Solve for x
    x = 919,757,721,600/438,513
  6. Step 6: Final answer
    x = 2,097,446.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.