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Finding the Third Proportional to 415,206 and 620,642

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Solution

The third proportional to 415,206 and 620,642 is: 927,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,206 : 620,642 = 620,642 : x
  2. Step 2: Convert to fraction form
    415,206/620,642 = 620,642/x
  3. Step 3: Cross multiply
    415,206x = 620,642 × 620,642
  4. Step 4: Simplify right side
    415,206x = 385,196,492,164
  5. Step 5: Solve for x
    x = 385,196,492,164/415,206
  6. Step 6: Final answer
    x = 927,723.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.