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Finding the Third Proportional to 344,313 and 503,256

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Solution

The third proportional to 344,313 and 503,256 is: 735,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,313 : 503,256 = 503,256 : x
  2. Step 2: Convert to fraction form
    344,313/503,256 = 503,256/x
  3. Step 3: Cross multiply
    344,313x = 503,256 × 503,256
  4. Step 4: Simplify right side
    344,313x = 253,266,601,536
  5. Step 5: Solve for x
    x = 253,266,601,536/344,313
  6. Step 6: Final answer
    x = 735,570.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.