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Finding the Third Proportional to 308,017 and 460,772

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Solution

The third proportional to 308,017 and 460,772 is: 689,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,017 : 460,772 = 460,772 : x
  2. Step 2: Convert to fraction form
    308,017/460,772 = 460,772/x
  3. Step 3: Cross multiply
    308,017x = 460,772 × 460,772
  4. Step 4: Simplify right side
    308,017x = 212,310,835,984
  5. Step 5: Solve for x
    x = 212,310,835,984/308,017
  6. Step 6: Final answer
    x = 689,282.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.