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Finding the Third Proportional to 399,915 and 613,236

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Solution

The third proportional to 399,915 and 613,236 is: 940,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,915 : 613,236 = 613,236 : x
  2. Step 2: Convert to fraction form
    399,915/613,236 = 613,236/x
  3. Step 3: Cross multiply
    399,915x = 613,236 × 613,236
  4. Step 4: Simplify right side
    399,915x = 376,058,391,696
  5. Step 5: Solve for x
    x = 376,058,391,696/399,915
  6. Step 6: Final answer
    x = 940,345.80

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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.