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Finding the Third Proportional to 393,424 and 577,225

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Solution

The third proportional to 393,424 and 577,225 is: 846,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,424 : 577,225 = 577,225 : x
  2. Step 2: Convert to fraction form
    393,424/577,225 = 577,225/x
  3. Step 3: Cross multiply
    393,424x = 577,225 × 577,225
  4. Step 4: Simplify right side
    393,424x = 333,188,700,625
  5. Step 5: Solve for x
    x = 333,188,700,625/393,424
  6. Step 6: Final answer
    x = 846,894.70

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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.