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Finding the Third Proportional to 308,204,692 and 422,623,518

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Solution

The third proportional to 308,204,692 and 422,623,518 is: 579,519,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,204,692 : 422,623,518 = 422,623,518 : x
  2. Step 2: Convert to fraction form
    308,204,692/422,623,518 = 422,623,518/x
  3. Step 3: Cross multiply
    308,204,692x = 422,623,518 × 422,623,518
  4. Step 4: Simplify right side
    308,204,692x = 178,610,637,966,696,320
  5. Step 5: Solve for x
    x = 178,610,637,966,696,320/308,204,692
  6. Step 6: Final answer
    x = 579,519,529.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.