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Finding the Third Proportional to 308,486 and 460,182

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Solution

The third proportional to 308,486 and 460,182 is: 686,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,486 : 460,182 = 460,182 : x
  2. Step 2: Convert to fraction form
    308,486/460,182 = 460,182/x
  3. Step 3: Cross multiply
    308,486x = 460,182 × 460,182
  4. Step 4: Simplify right side
    308,486x = 211,767,473,124
  5. Step 5: Solve for x
    x = 211,767,473,124/308,486
  6. Step 6: Final answer
    x = 686,473.53

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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.