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Finding the Third Proportional to 308,420 and 460,071

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Solution

The third proportional to 308,420 and 460,071 is: 686,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,420 : 460,071 = 460,071 : x
  2. Step 2: Convert to fraction form
    308,420/460,071 = 460,071/x
  3. Step 3: Cross multiply
    308,420x = 460,071 × 460,071
  4. Step 4: Simplify right side
    308,420x = 211,665,325,041
  5. Step 5: Solve for x
    x = 211,665,325,041/308,420
  6. Step 6: Final answer
    x = 686,289.23

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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.