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Finding the Third Proportional to 308,432 and 460,087

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Solution

The third proportional to 308,432 and 460,087 is: 686,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,432 : 460,087 = 460,087 : x
  2. Step 2: Convert to fraction form
    308,432/460,087 = 460,087/x
  3. Step 3: Cross multiply
    308,432x = 460,087 × 460,087
  4. Step 4: Simplify right side
    308,432x = 211,680,047,569
  5. Step 5: Solve for x
    x = 211,680,047,569/308,432
  6. Step 6: Final answer
    x = 686,310.26

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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.