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Finding the Third Proportional to 490,378 and 759,624

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Solution

The third proportional to 490,378 and 759,624 is: 1,176,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,378 : 759,624 = 759,624 : x
  2. Step 2: Convert to fraction form
    490,378/759,624 = 759,624/x
  3. Step 3: Cross multiply
    490,378x = 759,624 × 759,624
  4. Step 4: Simplify right side
    490,378x = 577,028,621,376
  5. Step 5: Solve for x
    x = 577,028,621,376/490,378
  6. Step 6: Final answer
    x = 1,176,701.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.