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Finding the Third Proportional to 87,489,936 and 191,457,216

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Solution

The third proportional to 87,489,936 and 191,457,216 is: 418,972,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,489,936 : 191,457,216 = 191,457,216 : x
  2. Step 2: Convert to fraction form
    87,489,936/191,457,216 = 191,457,216/x
  3. Step 3: Cross multiply
    87,489,936x = 191,457,216 × 191,457,216
  4. Step 4: Simplify right side
    87,489,936x = 36,655,865,558,470,656
  5. Step 5: Solve for x
    x = 36,655,865,558,470,656/87,489,936
  6. Step 6: Final answer
    x = 418,972,366.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.