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Finding the Third Proportional to 243,342 and 325,503

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Solution

The third proportional to 243,342 and 325,503 is: 435,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,342 : 325,503 = 325,503 : x
  2. Step 2: Convert to fraction form
    243,342/325,503 = 325,503/x
  3. Step 3: Cross multiply
    243,342x = 325,503 × 325,503
  4. Step 4: Simplify right side
    243,342x = 105,952,203,009
  5. Step 5: Solve for x
    x = 105,952,203,009/243,342
  6. Step 6: Final answer
    x = 435,404.50

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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.