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Finding the Third Proportional to 333,560 and 491,520

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Solution

The third proportional to 333,560 and 491,520 is: 724,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,560 : 491,520 = 491,520 : x
  2. Step 2: Convert to fraction form
    333,560/491,520 = 491,520/x
  3. Step 3: Cross multiply
    333,560x = 491,520 × 491,520
  4. Step 4: Simplify right side
    333,560x = 241,591,910,400
  5. Step 5: Solve for x
    x = 241,591,910,400/333,560
  6. Step 6: Final answer
    x = 724,283.22

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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.