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Finding the Third Proportional to 355,099 and 499,471

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Solution

The third proportional to 355,099 and 499,471 is: 702,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,099 : 499,471 = 499,471 : x
  2. Step 2: Convert to fraction form
    355,099/499,471 = 499,471/x
  3. Step 3: Cross multiply
    355,099x = 499,471 × 499,471
  4. Step 4: Simplify right side
    355,099x = 249,471,279,841
  5. Step 5: Solve for x
    x = 249,471,279,841/355,099
  6. Step 6: Final answer
    x = 702,540.08

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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.