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Finding the Third Proportional to 538,872 and 749,258

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Solution

The third proportional to 538,872 and 749,258 is: 1,041,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,872 : 749,258 = 749,258 : x
  2. Step 2: Convert to fraction form
    538,872/749,258 = 749,258/x
  3. Step 3: Cross multiply
    538,872x = 749,258 × 749,258
  4. Step 4: Simplify right side
    538,872x = 561,387,550,564
  5. Step 5: Solve for x
    x = 561,387,550,564/538,872
  6. Step 6: Final answer
    x = 1,041,782.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.