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Finding the Third Proportional to 490,357 and 749,805

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Solution

The third proportional to 490,357 and 749,805 is: 1,146,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,357 : 749,805 = 749,805 : x
  2. Step 2: Convert to fraction form
    490,357/749,805 = 749,805/x
  3. Step 3: Cross multiply
    490,357x = 749,805 × 749,805
  4. Step 4: Simplify right side
    490,357x = 562,207,538,025
  5. Step 5: Solve for x
    x = 562,207,538,025/490,357
  6. Step 6: Final answer
    x = 1,146,527.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.