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Finding the Third Proportional to 200,418.05 and 497,457.07

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Solution

The third proportional to 200,418.05 and 497,457.07 is: 1,234,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,418.05 : 497,457.07 = 497,457.07 : x
  2. Step 2: Convert to fraction form
    200,418.05/497,457.07 = 497,457.07/x
  3. Step 3: Cross multiply
    200,418.05x = 497,457.07 × 497,457.07
  4. Step 4: Simplify right side
    200,418.05x = 247,463,536,803.90
  5. Step 5: Solve for x
    x = 247,463,536,803.90/200,418.05
  6. Step 6: Final answer
    x = 1,234,736.79

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.