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Finding the Third Proportional to 308,054 and 457,563

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Solution

The third proportional to 308,054 and 457,563 is: 679,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,054 : 457,563 = 457,563 : x
  2. Step 2: Convert to fraction form
    308,054/457,563 = 457,563/x
  3. Step 3: Cross multiply
    308,054x = 457,563 × 457,563
  4. Step 4: Simplify right side
    308,054x = 209,363,898,969
  5. Step 5: Solve for x
    x = 209,363,898,969/308,054
  6. Step 6: Final answer
    x = 679,633.76

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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.