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Finding the Third Proportional to 343,516 and 505,326

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Solution

The third proportional to 343,516 and 505,326 is: 743,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,516 : 505,326 = 505,326 : x
  2. Step 2: Convert to fraction form
    343,516/505,326 = 505,326/x
  3. Step 3: Cross multiply
    343,516x = 505,326 × 505,326
  4. Step 4: Simplify right side
    343,516x = 255,354,366,276
  5. Step 5: Solve for x
    x = 255,354,366,276/343,516
  6. Step 6: Final answer
    x = 743,355.09

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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.