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Finding the Third Proportional to 454,784 and 757,911

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Solution

The third proportional to 454,784 and 757,911 is: 1,263,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,784 : 757,911 = 757,911 : x
  2. Step 2: Convert to fraction form
    454,784/757,911 = 757,911/x
  3. Step 3: Cross multiply
    454,784x = 757,911 × 757,911
  4. Step 4: Simplify right side
    454,784x = 574,429,083,921
  5. Step 5: Solve for x
    x = 574,429,083,921/454,784
  6. Step 6: Final answer
    x = 1,263,081.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.