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Finding the Third Proportional to 86,484 and 189,363

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Solution

The third proportional to 86,484 and 189,363 is: 414,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,484 : 189,363 = 189,363 : x
  2. Step 2: Convert to fraction form
    86,484/189,363 = 189,363/x
  3. Step 3: Cross multiply
    86,484x = 189,363 × 189,363
  4. Step 4: Simplify right side
    86,484x = 35,858,345,769
  5. Step 5: Solve for x
    x = 35,858,345,769/86,484
  6. Step 6: Final answer
    x = 414,624.04

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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.