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Finding the Third Proportional to 253,330 and 395,330

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Solution

The third proportional to 253,330 and 395,330 is: 616,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,330 : 395,330 = 395,330 : x
  2. Step 2: Convert to fraction form
    253,330/395,330 = 395,330/x
  3. Step 3: Cross multiply
    253,330x = 395,330 × 395,330
  4. Step 4: Simplify right side
    253,330x = 156,285,808,900
  5. Step 5: Solve for x
    x = 156,285,808,900/253,330
  6. Step 6: Final answer
    x = 616,925.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.