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Finding the Third Proportional to 297,007 and 393,835

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Solution

The third proportional to 297,007 and 393,835 is: 522,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,007 : 393,835 = 393,835 : x
  2. Step 2: Convert to fraction form
    297,007/393,835 = 393,835/x
  3. Step 3: Cross multiply
    297,007x = 393,835 × 393,835
  4. Step 4: Simplify right side
    297,007x = 155,106,007,225
  5. Step 5: Solve for x
    x = 155,106,007,225/297,007
  6. Step 6: Final answer
    x = 522,230.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.