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Finding the Third Proportional to 308,124 and 459,630

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Solution

The third proportional to 308,124 and 459,630 is: 685,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,124 : 459,630 = 459,630 : x
  2. Step 2: Convert to fraction form
    308,124/459,630 = 459,630/x
  3. Step 3: Cross multiply
    308,124x = 459,630 × 459,630
  4. Step 4: Simplify right side
    308,124x = 211,259,736,900
  5. Step 5: Solve for x
    x = 211,259,736,900/308,124
  6. Step 6: Final answer
    x = 685,632.20

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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.