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Finding the Third Proportional to 243,326 and 325,481

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Solution

The third proportional to 243,326 and 325,481 is: 435,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,326 : 325,481 = 325,481 : x
  2. Step 2: Convert to fraction form
    243,326/325,481 = 325,481/x
  3. Step 3: Cross multiply
    243,326x = 325,481 × 325,481
  4. Step 4: Simplify right side
    243,326x = 105,937,881,361
  5. Step 5: Solve for x
    x = 105,937,881,361/243,326
  6. Step 6: Final answer
    x = 435,374.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.