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Finding the Third Proportional to 343,434.38 and 505,218.94

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Solution

The third proportional to 343,434.38 and 505,218.94 is: 743,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,434.38 : 505,218.94 = 505,218.94 : x
  2. Step 2: Convert to fraction form
    343,434.38/505,218.94 = 505,218.94/x
  3. Step 3: Cross multiply
    343,434.38x = 505,218.94 × 505,218.94
  4. Step 4: Simplify right side
    343,434.38x = 255,246,174,808.63
  5. Step 5: Solve for x
    x = 255,246,174,808.63/343,434.38
  6. Step 6: Final answer
    x = 743,216.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.