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Finding the Third Proportional to 491,213 and 738,642

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Solution

The third proportional to 491,213 and 738,642 is: 1,110,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,213 : 738,642 = 738,642 : x
  2. Step 2: Convert to fraction form
    491,213/738,642 = 738,642/x
  3. Step 3: Cross multiply
    491,213x = 738,642 × 738,642
  4. Step 4: Simplify right side
    491,213x = 545,592,004,164
  5. Step 5: Solve for x
    x = 545,592,004,164/491,213
  6. Step 6: Final answer
    x = 1,110,703.51

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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.