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Finding the Third Proportional to 240,805 and 354,225

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Solution

The third proportional to 240,805 and 354,225 is: 521,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,805 : 354,225 = 354,225 : x
  2. Step 2: Convert to fraction form
    240,805/354,225 = 354,225/x
  3. Step 3: Cross multiply
    240,805x = 354,225 × 354,225
  4. Step 4: Simplify right side
    240,805x = 125,475,350,625
  5. Step 5: Solve for x
    x = 125,475,350,625/240,805
  6. Step 6: Final answer
    x = 521,066.22

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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.