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Finding the Third Proportional to 492,085 and 738,128

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Solution

The third proportional to 492,085 and 738,128 is: 1,107,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,085 : 738,128 = 738,128 : x
  2. Step 2: Convert to fraction form
    492,085/738,128 = 738,128/x
  3. Step 3: Cross multiply
    492,085x = 738,128 × 738,128
  4. Step 4: Simplify right side
    492,085x = 544,832,944,384
  5. Step 5: Solve for x
    x = 544,832,944,384/492,085
  6. Step 6: Final answer
    x = 1,107,192.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.