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Finding the Third Proportional to 308,057 and 457,567

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Solution

The third proportional to 308,057 and 457,567 is: 679,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,057 : 457,567 = 457,567 : x
  2. Step 2: Convert to fraction form
    308,057/457,567 = 457,567/x
  3. Step 3: Cross multiply
    308,057x = 457,567 × 457,567
  4. Step 4: Simplify right side
    308,057x = 209,367,559,489
  5. Step 5: Solve for x
    x = 209,367,559,489/308,057
  6. Step 6: Final answer
    x = 679,639.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.