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Finding the Third Proportional to 355,496 and 499,980

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Solution

The third proportional to 355,496 and 499,980 is: 703,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,496 : 499,980 = 499,980 : x
  2. Step 2: Convert to fraction form
    355,496/499,980 = 499,980/x
  3. Step 3: Cross multiply
    355,496x = 499,980 × 499,980
  4. Step 4: Simplify right side
    355,496x = 249,980,000,400
  5. Step 5: Solve for x
    x = 249,980,000,400/355,496
  6. Step 6: Final answer
    x = 703,186.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.