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Finding the Third Proportional to 39,021,966 and 84,037,392

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Solution

The third proportional to 39,021,966 and 84,037,392 is: 180,982,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,021,966 : 84,037,392 = 84,037,392 : x
  2. Step 2: Convert to fraction form
    39,021,966/84,037,392 = 84,037,392/x
  3. Step 3: Cross multiply
    39,021,966x = 84,037,392 × 84,037,392
  4. Step 4: Simplify right side
    39,021,966x = 7,062,283,254,161,664
  5. Step 5: Solve for x
    x = 7,062,283,254,161,664/39,021,966
  6. Step 6: Final answer
    x = 180,982,251.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.