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Finding the Third Proportional to 308,483 and 460,179

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Solution

The third proportional to 308,483 and 460,179 is: 686,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,483 : 460,179 = 460,179 : x
  2. Step 2: Convert to fraction form
    308,483/460,179 = 460,179/x
  3. Step 3: Cross multiply
    308,483x = 460,179 × 460,179
  4. Step 4: Simplify right side
    308,483x = 211,764,712,041
  5. Step 5: Solve for x
    x = 211,764,712,041/308,483
  6. Step 6: Final answer
    x = 686,471.25

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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.