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Finding the Third Proportional to 331,326 and 531,585

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Solution

The third proportional to 331,326 and 531,585 is: 852,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,326 : 531,585 = 531,585 : x
  2. Step 2: Convert to fraction form
    331,326/531,585 = 531,585/x
  3. Step 3: Cross multiply
    331,326x = 531,585 × 531,585
  4. Step 4: Simplify right side
    331,326x = 282,582,612,225
  5. Step 5: Solve for x
    x = 282,582,612,225/331,326
  6. Step 6: Final answer
    x = 852,883.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.