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Finding the Third Proportional to 316,186 and 485,942

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Solution

The third proportional to 316,186 and 485,942 is: 746,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,186 : 485,942 = 485,942 : x
  2. Step 2: Convert to fraction form
    316,186/485,942 = 485,942/x
  3. Step 3: Cross multiply
    316,186x = 485,942 × 485,942
  4. Step 4: Simplify right side
    316,186x = 236,139,627,364
  5. Step 5: Solve for x
    x = 236,139,627,364/316,186
  6. Step 6: Final answer
    x = 746,837.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.