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Finding the Third Proportional to 538,924 and 898,242

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Solution

The third proportional to 538,924 and 898,242 is: 1,497,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,924 : 898,242 = 898,242 : x
  2. Step 2: Convert to fraction form
    538,924/898,242 = 898,242/x
  3. Step 3: Cross multiply
    538,924x = 898,242 × 898,242
  4. Step 4: Simplify right side
    538,924x = 806,838,690,564
  5. Step 5: Solve for x
    x = 806,838,690,564/538,924
  6. Step 6: Final answer
    x = 1,497,128.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.