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Finding the Third Proportional to 86,476 and 189,355

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Solution

The third proportional to 86,476 and 189,355 is: 414,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,476 : 189,355 = 189,355 : x
  2. Step 2: Convert to fraction form
    86,476/189,355 = 189,355/x
  3. Step 3: Cross multiply
    86,476x = 189,355 × 189,355
  4. Step 4: Simplify right side
    86,476x = 35,855,316,025
  5. Step 5: Solve for x
    x = 35,855,316,025/86,476
  6. Step 6: Final answer
    x = 414,627.37

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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.