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Finding the Third Proportional to 491,210 and 738,640

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Solution

The third proportional to 491,210 and 738,640 is: 1,110,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,210 : 738,640 = 738,640 : x
  2. Step 2: Convert to fraction form
    491,210/738,640 = 738,640/x
  3. Step 3: Cross multiply
    491,210x = 738,640 × 738,640
  4. Step 4: Simplify right side
    491,210x = 545,589,049,600
  5. Step 5: Solve for x
    x = 545,589,049,600/491,210
  6. Step 6: Final answer
    x = 1,110,704.28

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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.