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Finding the Third Proportional to 308,306 and 460,371

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Solution

The third proportional to 308,306 and 460,371 is: 687,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,306 : 460,371 = 460,371 : x
  2. Step 2: Convert to fraction form
    308,306/460,371 = 460,371/x
  3. Step 3: Cross multiply
    308,306x = 460,371 × 460,371
  4. Step 4: Simplify right side
    308,306x = 211,941,457,641
  5. Step 5: Solve for x
    x = 211,941,457,641/308,306
  6. Step 6: Final answer
    x = 687,438.64

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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.