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Finding the Third Proportional to 87,643 and 191,509

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Solution

The third proportional to 87,643 and 191,509 is: 418,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,643 : 191,509 = 191,509 : x
  2. Step 2: Convert to fraction form
    87,643/191,509 = 191,509/x
  3. Step 3: Cross multiply
    87,643x = 191,509 × 191,509
  4. Step 4: Simplify right side
    87,643x = 36,675,697,081
  5. Step 5: Solve for x
    x = 36,675,697,081/87,643
  6. Step 6: Final answer
    x = 418,466.93

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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.