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Finding the Third Proportional to 308,128 and 459,636

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Solution

The third proportional to 308,128 and 459,636 is: 685,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,128 : 459,636 = 459,636 : x
  2. Step 2: Convert to fraction form
    308,128/459,636 = 459,636/x
  3. Step 3: Cross multiply
    308,128x = 459,636 × 459,636
  4. Step 4: Simplify right side
    308,128x = 211,265,252,496
  5. Step 5: Solve for x
    x = 211,265,252,496/308,128
  6. Step 6: Final answer
    x = 685,641.20

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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.