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Finding the Third Proportional to 498,496 and 753,690

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Solution

The third proportional to 498,496 and 753,690 is: 1,139,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,496 : 753,690 = 753,690 : x
  2. Step 2: Convert to fraction form
    498,496/753,690 = 753,690/x
  3. Step 3: Cross multiply
    498,496x = 753,690 × 753,690
  4. Step 4: Simplify right side
    498,496x = 568,048,616,100
  5. Step 5: Solve for x
    x = 568,048,616,100/498,496
  6. Step 6: Final answer
    x = 1,139,524.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.