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Finding the Third Proportional to 399,913 and 613,233

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Solution

The third proportional to 399,913 and 613,233 is: 940,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,913 : 613,233 = 613,233 : x
  2. Step 2: Convert to fraction form
    399,913/613,233 = 613,233/x
  3. Step 3: Cross multiply
    399,913x = 613,233 × 613,233
  4. Step 4: Simplify right side
    399,913x = 376,054,712,289
  5. Step 5: Solve for x
    x = 376,054,712,289/399,913
  6. Step 6: Final answer
    x = 940,341.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.