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Finding the Third Proportional to 86,827.50 and 189,369

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Solution

The third proportional to 86,827.50 and 189,369 is: 413,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,827.50 : 189,369 = 189,369 : x
  2. Step 2: Convert to fraction form
    86,827.50/189,369 = 189,369/x
  3. Step 3: Cross multiply
    86,827.50x = 189,369 × 189,369
  4. Step 4: Simplify right side
    86,827.50x = 35,860,618,161
  5. Step 5: Solve for x
    x = 35,860,618,161/86,827.50
  6. Step 6: Final answer
    x = 413,009.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.