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Finding the Third Proportional to 490,590 and 738,315

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Solution

The third proportional to 490,590 and 738,315 is: 1,111,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,590 : 738,315 = 738,315 : x
  2. Step 2: Convert to fraction form
    490,590/738,315 = 738,315/x
  3. Step 3: Cross multiply
    490,590x = 738,315 × 738,315
  4. Step 4: Simplify right side
    490,590x = 545,109,039,225
  5. Step 5: Solve for x
    x = 545,109,039,225/490,590
  6. Step 6: Final answer
    x = 1,111,129.54

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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.